{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## _*H2 excited states from EOM VQE*_\n",
    "\n",
    "This notebook demonstrates using Qiskit Chemistry to plot graphs of the ground state and excited state energies of the Hydrogen (H2) molecule over a range of inter-atomic distances using QEomVQE as discussed in [1].\n",
    "\n",
    "This notebook has been written to use the PYSCF chemistry driver. See the PYSCF chemistry driver readme if you need to install the external PySCF library that this driver requires.\n",
    "\n",
    "[1] Ollitrault _et al_. (2019) [Quantum equation of motion for computing molecular excitation energies on a noisy quantum processor](https://arxiv.org/abs/1910.12890)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Couldn't find cython int routine\n",
      "Couldn't find cython int routine\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pylab\n",
    "from qiskit import BasicAer\n",
    "from qiskit.aqua import aqua_globals, QuantumInstance\n",
    "from qiskit.aqua.algorithms import NumPyEigensolver, VQE\n",
    "from qiskit.aqua.components.optimizers import COBYLA\n",
    "from qiskit.chemistry.algorithms import QEomVQE\n",
    "from qiskit.chemistry.drivers import PySCFDriver\n",
    "from qiskit.chemistry.core import Hamiltonian, QubitMappingType\n",
    "from qiskit.chemistry.components.initial_states import HartreeFock\n",
    "from qiskit.chemistry.components.variational_forms import UCCSD"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we compute reference values using NumPyEigensolver. This notebook also utilizes the fact that when two_qubit_reduction is used with the parity mapping on H2 the resultant hamiltonian solely contains the 4 states we are looking for so that it is easy to generate reference values using NumPyEigensolver."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Processing step 30 --- complete\n",
      "Distances:  [0.5  0.55 0.6  0.65 0.7  0.75 0.8  0.85 0.9  0.95 1.   1.05 1.1  1.15\n",
      " 1.2  1.25 1.3  1.35 1.4  1.45 1.5  1.55 1.6  1.65 1.7  1.75 1.8  1.85\n",
      " 1.9  1.95 2.  ]\n",
      "Energies: [[-1.05515979 -1.09262991 -1.11628601 -1.12990478 -1.13618945 -1.13711707\n",
      "  -1.13414767 -1.12836188 -1.12056028 -1.11133942 -1.10115033 -1.09034218\n",
      "  -1.07919294 -1.06792966 -1.05674075 -1.04578314 -1.03518627 -1.02505436\n",
      "  -1.01546825 -1.00648693 -0.99814935 -0.99047634 -0.98347273 -0.97712962\n",
      "  -0.97142669 -0.96633454 -0.96181695 -0.95783297 -0.95433885 -0.95128976\n",
      "  -0.94864111]\n",
      " [-0.07074011 -0.20191839 -0.31096009 -0.402052   -0.47845306 -0.5427821\n",
      "  -0.5971778  -0.64339155 -0.68284939 -0.71670221 -0.74587179 -0.77109432\n",
      "  -0.7929597  -0.81194535 -0.82844335 -0.8427812  -0.85523694 -0.86604987\n",
      "  -0.87542794 -0.88355305 -0.89058478 -0.89666333 -0.90191182 -0.90643829\n",
      "  -0.91033743 -0.91369215 -0.91657491 -0.91904902 -0.92116973 -0.92298519\n",
      "  -0.92453732]\n",
      " [ 0.26700034  0.14057064  0.0365012  -0.0494151  -0.1204519  -0.17923903\n",
      "  -0.22792423 -0.26826785 -0.301706   -0.32940157 -0.35229063 -0.37112578\n",
      "  -0.38651524 -0.398956   -0.40886041 -0.41657639 -0.42240202 -0.42659579\n",
      "  -0.42938376 -0.43096453 -0.43151291 -0.43118275 -0.43010925 -0.428411\n",
      "  -0.42619176 -0.4235421  -0.42054092 -0.41725672 -0.41374888 -0.4100687\n",
      "  -0.40626037]\n",
      " [ 1.30148575  1.08048357  0.89008467  0.72564537  0.5833141   0.45980452\n",
      "   0.35228457  0.25832675  0.17588132  0.10324952  0.03904763 -0.01783818\n",
      "  -0.0683013  -0.11306288 -0.15271436 -0.18775207 -0.21860355 -0.24564643\n",
      "  -0.26922131 -0.2896403  -0.3071925  -0.32214743 -0.33475718 -0.34525783\n",
      "  -0.35387022 -0.36080045 -0.36624018 -0.37036682 -0.37334368 -0.37532019\n",
      "  -0.37643216]]\n"
     ]
    }
   ],
   "source": [
    "# TODO: Ignore warnings for now until the algorithm result handling is changed.\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore', category=DeprecationWarning)\n",
    "\n",
    "molecule = 'H .0 .0 -{0}; H .0 .0 {0}'\n",
    "\n",
    "start = 0.5  # Start distance\n",
    "by    = 1.5  # How much to increase distance by\n",
    "steps = 30   # Number of steps to increase by\n",
    "energies  = np.empty([4, steps+1])\n",
    "distances = np.empty(steps+1)\n",
    "\n",
    "print('Processing step __', end='')\n",
    "for i in range(steps+1):\n",
    "    print('\\b\\b{:2d}'.format(i), end='', flush=True)\n",
    "    d = start + i*by/steps\n",
    "    driver = PySCFDriver(molecule.format(d/2), basis='sto3g')\n",
    "    qmolecule = driver.run()\n",
    "    operator = Hamiltonian(qubit_mapping=QubitMappingType.PARITY, two_qubit_reduction=True)\n",
    "    qubit_op, _ = operator.run(qmolecule)\n",
    "    result = NumPyEigensolver(qubit_op, k=4).run()\n",
    "    _, result = operator.process_algorithm_result(result)\n",
    "    energies[:, i] = result['energies']\n",
    "    distances[i] = d\n",
    "print(' --- complete')\n",
    "\n",
    "print('Distances: ', distances)\n",
    "print('Energies:', energies)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The excited states are now computed using QEomVQE algorithm. This uses an equation-of-motion algorithm, with the ground state as computed by VQE, to compute excited states."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Processing step 30 --- complete\n",
      "Energies: [[-1.05515979 -1.09262989 -1.11628599 -1.12990478 -1.13618945 -1.13711704\n",
      "  -1.13414766 -1.12836187 -1.12056028 -1.11133941 -1.10115031 -1.09034217\n",
      "  -1.07919293 -1.06792965 -1.05674074 -1.04578314 -1.03518626 -1.02505436\n",
      "  -1.01546824 -1.00648693 -0.99814934 -0.99047634 -0.9834727  -0.97712961\n",
      "  -0.97142667 -0.96633452 -0.96181692 -0.95783293 -0.95433881 -0.95128971\n",
      "  -0.94864101]\n",
      " [-0.0707556  -0.20189839 -0.31093056 -0.40203892 -0.4784285  -0.54274392\n",
      "  -0.59719158 -0.64340183 -0.68284134 -0.71672299 -0.74583479 -0.77111902\n",
      "  -0.79290413 -0.81191974 -0.82840187 -0.84275188 -0.85520893 -0.86609882\n",
      "  -0.87546442 -0.88357997 -0.89054402 -0.89667793 -0.90196204 -0.90650135\n",
      "  -0.9102725  -0.91372674 -0.91658371 -0.91904962 -0.92107712 -0.92294385\n",
      "  -0.92461285]\n",
      " [ 0.26698486  0.14059065  0.03653073 -0.04940202 -0.12042735 -0.17920084\n",
      "  -0.22793801 -0.26827813 -0.30169795 -0.32942236 -0.35225361 -0.37115048\n",
      "  -0.38645966 -0.39893039 -0.40881892 -0.41654707 -0.42237401 -0.42664473\n",
      "  -0.42942023 -0.43099146 -0.43147216 -0.43119736 -0.43015947 -0.42847401\n",
      "  -0.42612678 -0.42357677 -0.42054982 -0.41725744 -0.41365612 -0.41002739\n",
      "  -0.40633591]\n",
      " [ 1.30147026  1.08050358  0.89011421  0.72565845  0.58333866  0.45984271\n",
      "   0.3522708   0.25831647  0.17588937  0.10322874  0.03908465 -0.01786287\n",
      "  -0.06824571 -0.11303727 -0.15267287 -0.18772275 -0.21857552 -0.24569537\n",
      "  -0.26925777 -0.28966721 -0.30715169 -0.322162   -0.33480732 -0.34532085\n",
      "  -0.35380522 -0.36083492 -0.36624884 -0.37036725 -0.37325088 -0.3752787\n",
      "  -0.37650734]]\n"
     ]
    }
   ],
   "source": [
    "aqua_globals.random_seed = 50\n",
    "energies_eom = np.empty([4, steps+1])\n",
    "\n",
    "print('Processing step __', end='')\n",
    "for i in range(steps+1):\n",
    "    print('\\b\\b{:2d}'.format(i), end='', flush=True)\n",
    "    d = start + i*by/steps\n",
    "    driver = PySCFDriver(molecule.format(d/2), basis='sto3g')\n",
    "    qmolecule = driver.run()\n",
    "    operator = Hamiltonian(qubit_mapping=QubitMappingType.PARITY, two_qubit_reduction=True)\n",
    "    qubit_op, _ = operator.run(qmolecule)\n",
    "    initial_state = HartreeFock(num_orbitals=operator.molecule_info['num_orbitals'],\n",
    "                                num_particles=operator.molecule_info['num_particles'],\n",
    "                                qubit_mapping=operator._qubit_mapping,\n",
    "                                two_qubit_reduction=operator._two_qubit_reduction)\n",
    "    var_form = UCCSD(num_orbitals=operator.molecule_info['num_orbitals'],\n",
    "                     num_particles=operator.molecule_info['num_particles'],\n",
    "                     initial_state=initial_state,\n",
    "                     qubit_mapping=operator._qubit_mapping,\n",
    "                     two_qubit_reduction=operator._two_qubit_reduction)\n",
    "    algo = QEomVQE(qubit_op,\n",
    "                   var_form,\n",
    "                   COBYLA(maxiter=10000),\n",
    "                   num_orbitals=operator.molecule_info['num_orbitals'],\n",
    "                   num_particles=operator.molecule_info['num_particles'],\n",
    "                   qubit_mapping=operator._qubit_mapping,\n",
    "                   two_qubit_reduction=operator._two_qubit_reduction)\n",
    "    result = algo.run(QuantumInstance(BasicAer.get_backend('statevector_simulator'),\n",
    "                                      seed_simulator=aqua_globals.random_seed,\n",
    "                                      seed_transpiler=aqua_globals.random_seed))\n",
    "    _, result = operator.process_algorithm_result(result)\n",
    "    energies_eom[:, i] = result['energies']\n",
    "print(' --- complete')\n",
    "\n",
    "print('Energies:', energies_eom)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now plot graphs of the results from QEomVQE and comparison against the reference values computed above using the NumPyEigensolver"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pylab.rcParams['figure.figsize'] = (12, 8)\n",
    "for j in range(energies_eom.shape[0]):\n",
    "    label = 'Ground state' if j ==0 else 'Excited state {}'.format(j)\n",
    "    pylab.plot(distances, energies_eom[j], label=label)\n",
    "pylab.xlabel('Interatomic distance')\n",
    "pylab.ylabel('Energy')\n",
    "pylab.title('H2 Ground and Excited States from QEomVQE')\n",
    "pylab.legend(loc='upper right')\n",
    "pylab.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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ZIQFrJpi2rMX6afVNrKEB9VjjSpuTpDuwPuiPYSV0xZ2J3z4y+U2soSRlWEnNn9tZ5UGsaT0rsYYttFfXt69XsYaobMU6F2FrJ1bLl9bziDcPXXgCeNEY84qx5v7+DrBGRFKNMc8BP8c6Il4NvIB1spuv5uEvpSKy274/B+un90+whh5t5oshVU9ijRv+AGvWofaeezXWCXn/EJFarMT+Y6zZR7Cf+16sfaZ5WMcdwE9FpBr4MVaiB7QcVf458I6IVIjIRGPM81gn6j0rIlV2+83XYEi04y3HGrpQSutfObrqVqyxwMexTtr8ifewtfNhjPkF1smSK7G22yGsX6S+aoyp9ap6s5w9r3x/+/X/Ota2LcWak/zr9nvtXL2JtY8XG2Pe84l3E9aR/e9jvWdOYA1Xmmwn1M2u9hPveHvZMKyZXfxtj3N5n7SnvX3an/vsfnfa+9UWrHN+OuOHWCd8voe1bR7BGid/FOuk8P/E+rJ6FOvgwDnlIPbn1jew9vczWCeAz7F/KQs4Y8wurJPF87G24UHs4Xdt6Oo2/BXWr3d/s9//O7E+Pzrjv7A+K/6GNSvU77DOuajGOk/oFqz37Um+OLFX9QHSeuitUkopFTwiMh9rlpavGGOOBDuejojIVKwvk181xuzpRP0orC+J2R0M51NKqXOmCb5SSqmQIiKzAZcxpruGXASUWCePDjHGrA52LEopBZrgK6WUUkopdUHRMfhKKaWUUkpdQIKa4NuzJuwXkYMictaMFCISLSKb7OX/sGdXaF52v12+3/vs9LbaFJHv2mVGrBk4mstFRB63l30oIld6LZsrIgfs29zu2AZKKaWUUkoFUtCG6Ig1V/enWJesLsY66/5WY8wnXnXuwDoRabGI3IJ1NcGbRWQU1rSBE7AuNLEFa55n2mpTRMZgnf2+DRjXPMOCWFPrLcG6WM5VwK+MMVeJSAqwC2t2BIN14ZGxxhjfi/q0kpaWZjIyMs5r2yillFJKKdWegoKCM8YYv9e9CeaVbCcAB40xnwOIyLNY02h94lXnBqxLlIM1tVe+iIhd/qwxpgE4JCIH+WLubr9tGmPet8t847gB6xLYBmtKqyQRGYR1OenXjTFl9nqvA9Oxvli0KSMjg127dnVlOyillFJKKdUlItLmla6DOURnCK0vBV1M68tMt6pjX9CnEkhtZ93OtNnZOM6lLaWUUkoppYJKT7INABG5TUR2iciukpKSYIejlFJKKaX6sGAm+MewrubXbKhd5reOiEQA/bCuVNjWup1ps7NxdLotY8wTxphxxphx6el+h0IppZRSSinVI4I5Bv894FIRGYGVON8CfMunzkvAXGAHcCOw1RhjROQlYKOI/BfWSbaXAu8C0ok2fb0EfNcer38VUGmMOSEirwEPiUiyXW8qcP+5PFGXy0VxcTH19fXnsroKgpiYGIYOHUpkZGSwQ1FKKaWU6pKgJfjGmCYR+S7wGhAOrDXG7BWRnwK7jDEvAb8D/mCfRFuGlbBj1/sj1gm5TcCdxhg3WNNh+rZpl98F/AcwEPhQRF4xxiwEXsGaQecgUAfMt/soE5GfYX0RAfhp8wm3XVVcXExCQgIZGRn+TvJVIcYYQ2lpKcXFxYwYMSLY4SillFJKdYleyTbAxo0bZ3xn0SksLOTyyy/X5L4XMcawb98+MjMzgx2KUkoppdRZRKTAGDPO3zI9ybaHaHLfu+jrpZRSSqneShP8PuLUqVN861vf4uKLL2bs2LFcffXVPP/88z0aw+HDhxk9enSn6z/00EMBraeUUkop1Rdogt8HGGOYMWMGeXl5fP755xQUFPDss89SXFx8Vt2mpqYgROifJvhKKaWUUl2nCX4fsHXrVqKioli8eHFL2fDhw1myZAkA69at4/rrr+faa6/luuuuo6ysjBkzZpCdnc3EiRP58MMPAXjggQdYuXJlSxujR4/m8OHDHD58mMzMTBYtWkRWVhZTp07F6XQCUFBQQE5ODjk5OaxatcpvfCdOnCAvL4/c3FxGjx7NW2+9xdKlS3E6neTm5jJr1iwAZsyYwdixY8nKyuKJJ54A8Fvv6aefZsKECeTm5nL77bfjdrsDvEWVUkoppUJXMKfJ7JMe/MtePjleFdA2Rw1O5CffyGpz+d69e7nyyivbbWP37t18+OGHpKSksGTJEsaMGcMLL7zA1q1bmTNnDnv27Gl3/QMHDvDMM8/w5JNP8m//9m/86U9/4tvf/jbz588nPz+fvLw87r33Xr/rbty4kWnTprFs2TLcbjd1dXVMmjSJ/Pz8Vv2uXbuWlJQUnE4n48ePZ+bMmaxYsaJVvcLCQjZt2sQ777xDZGQkd9xxBxs2bGDOnDntxq+UUkopdaHQBL8PuvPOO3n77beJiorivfesWUCnTJlCSkoKAG+//TZ/+tOfALj22mspLS2lqqr9LyUjRowgNzcXgLFjx3L48GEqKiqoqKggLy8PgNmzZ/Pqq6+ete748eNZsGABLpeLGTNmtLTj6/HHH285b+Do0aMcOHCA1NTUVnXeeOMNCgoKGD9+PABOp5P+/ft3arsopZRSSl0INMHvYe0dae8uWVlZLQk7wKpVqzhz5gzjxn0xs1JcXFyH7URERODxeFoee1+4Kzo6uuV+eHh4yxCdzsjLy+PNN9/k5ZdfZt68edxzzz1nHXHftm0bW7ZsYceOHTgcDq655hq/Fw4zxjB37lwefvjhTvevlFJKKXUh0TH4fcC1115LfX09v/nNb1rK6urq2qw/adIkNmzYAFiJdVpaGomJiWRkZLB7927AGtJz6NChdvtNSkoiKSmJt99+G6ClTV9FRUUMGDCARYsWsXDhwpY+IiMjcblcAFRWVpKcnIzD4WDfvn3s3LmzZX3vetdddx2bN2/m9OnTAJSVlVFUVNRunEoppZRSFxI9gt8HiAgvvPAC3//+9/nFL35Beno6cXFxPPLII37rP/DAAyxYsIDs7GwcDge///3vAZg5cybr168nKyuLq666issuu6zDvp966ikWLFiAiDB16lS/dbZt28Yvf/lLIiMjiY+PZ/369QDcdtttZGdnc+WVV7J27VpWr15NZmYmI0eOZOLEiS3re9fbsGEDy5cvZ+rUqXg8HiIjI1m1ahXDhw/v6mZTSimllOqV9Eq2AdbWlWz1iqi9j75uSimllApVeiVbpZRSSiml+ghN8JVSSimlVMgpfO0P7M4dRemR/cEOpdfRBF8ppZRSSoWcY289T2y94eDf1gU7lF5HE3yllFJKKRVyGsvKAajY92GQI+l9NMFXSimllFIhx1TUAOA+cirIkfQ+muArpZRSSqmQE1bVAEDMqbav3aP80wS/jwgPDyc3N7fltmLFii63sXr16pY56tetW8fx48e7tP7hw4cZPXp0p+s/9NBDAa3nLT8/n0suuQQR4cyZM11eXymllFLdK6rGDUBqqcHd5ApyNL2LJvh9RGxsLHv27Gm5LV26tMttLF68mDlz5gDnluB3VXcm+F/5ylfYsmWLXgBLKaWUClGxtR4awyGqCY59+H/BDqdX0QS/D6usrGTkyJHs329NP3Xrrbfy5JNPArB+/Xqys7PJyclh9uzZgHWF25UrV7J582Z27drFrFmzyM3Nxel0UlBQwOTJkxk7dizTpk3jxIkTABQUFJCTk0NOTg6rVq3yG8eJEyfIy8sjNzeX0aNH89Zbb7F06VKcTie5ubnMmjULgBkzZjB27FiysrJ44oknAPzWe/rpp5kwYQK5ubncfvvtuN3us/ocM2YMGRkZgduYSimllAoYj9tNQi0cGyIAHH/vtSBH1LtEBDuAPufVpXDyo8C2OfAK+Of2h9w0J8HN7r//fm6++Wby8/OZN28ed999N+Xl5SxatIi9e/eyfPlytm/fTlpaGmVlZa3auvHGG8nPz2flypWMGzcOl8vFkiVLePHFF0lPT2fTpk0sW7aMtWvXMn/+fPLz88nLy+Pee+/1G9vGjRuZNm0ay5Ytw+12U1dXx6RJk8jPz2fPnj0t9dauXUtKSgpOp5Px48czc+ZMVqxY0apeYWEhmzZt4p133iEyMpI77riDDRs2tPzyoJRSSqnQV3nycyI84Lk0BY6UUrl/b7BD6lU0we8jmofo+JoyZQrPPfccd955Jx988AEAW7du5aabbiItLQ2AlJSUdtvev38/H3/8MVOmTAHA7XYzaNAgKioqqKioIC8vD4DZs2fz6quvnrX++PHjWbBgAS6XixkzZrT6IuLt8ccf5/nnnwfg6NGjHDhwgNTU1FZ13njjDQoKChg/fjxgfbHp379/u/ErpZRSKrSUfv4+APHDR1CaWKoz6XSRJvg9rYMj7T3N4/FQWFiIw+GgvLycoUOHdrkNYwxZWVns2LGjVXlFRUWn1s/Ly+PNN9/k5ZdfZt68edxzzz1nHXHftm0bW7ZsYceOHTgcDq655hrq6+v9xjJ37lwefvjhLj8PpZRSSoWGqqOfEgvEDxzGqbTdOE45gx1Sr6Jj8Pu4xx57jMzMTDZu3Mj8+fNxuVxce+21PPfcc5SWlgKcNUQHICEhgerqagBGjhxJSUlJS4LvcrnYu3cvSUlJJCUl8fbbbwOwYcMGvzEUFRUxYMAAFi1axMKFC9m9ezcAkZGRuFzWWfOVlZUkJyfjcDjYt28fO3fubFnfu951113H5s2bOX36dEvsRUVF572dlFJKKdVzak5Y/7v7Db0Ez8B4UssMbldjkKPqPTTB7yOax+A335YuXcr+/ftZs2YNjz76KJMmTSIvL4/ly5eTlZXFsmXLmDx5Mjk5Odxzzz1ntTdv3jwWL15Mbm4ubrebzZs3c99995GTk0Nubi7bt28H4KmnnuLOO+8kNzcXY4zf2LZt20ZOTg5jxoxh06ZN3H333QDcdtttZGdnM2vWLKZPn05TUxOZmZksXbqUiRMntqzvXW/UqFEsX76cqVOnkp2dzZQpU1pO+PX2+OOPM3ToUIqLi8nOzmbhwoWB2MxKKaWUCoD6EmtITmpGDrEZQ4l0Q/H7bwQ5qt5D2kq61LkZN26c2bVrV6uywsJCMjMzgxSROlf6uimllFLB8cpteQx5p4TRe97n4xdXEvWjDVTcNZ2r73gs2KGFDBEpMMaM87dMj+ArpZRSSqmQYiprqYmD8MgYMibeAEDV/sIgR9V7aIKvlFJKKaVCSnh1I3Vx1hz4/YaMpiQJPMWngxxV76EJvlJKKaWUCilRNW4a48OtByJUp4UTe+rs2fOUf5rgK6WUUkqpkBJXa/AkRLU8bp5Jp6lep8vsDE3wlVJKKaVUyHC7Gomvg7BER0uZI2MYER4ofv/1IEbWe2iCr5RSSimlQkb50ULCDESk9GspS8+yJos5XqBTZXaGJvh9RHh4eKt58Fes6PoVdVevXs369esBWLduHcePH+/S+ocPH2b06NGdrv/QQw8FtJ63WbNmMXLkSEaPHs2CBQtaLpSllFJKqeAqO/QBADHp/VvKRky8AY9A9ac6k05naILfR8TGxrJnz56W29KlS7vcxuLFi5kzZw5wbgl+V3V3gr9v3z4++ugjnE4na9as6XIbSimllAq8quJPAUgYOKylLGHgSEr7gae4JFhh9Sqa4PdhlZWVjBw5kv379wNw66238uSTTwKwfv16srOzycnJYfbs2QA88MADrFy5ks2bN7Nr1y5mzZpFbm4uTqeTgoICJk+ezNixY5k2bVrL1WMLCgrIyckhJyeHVatW+Y3jxIkT5OXlkZuby+jRo3nrrbdYunRpy9V3Z82aBcCMGTMYO3YsWVlZPPHEEwB+6z399NNMmDCB3Nxcbr/9dtxu91l9fu1rX0NEEBEmTJhAcXFxALesUkoppc5V7Qnrf3K/YSO/KBShKj2cuFMNQYqqd4kIdgB9zSPvPsK+sn0BbfPylMu5b8J97dZpToKb3X///dx8883k5+czb9487r77bsrLy1m0aBF79+5l+fLlbN++nbS0NMrKylq1deONN5Kfn8/KlSsZN24cLpeLJUuW8OKLL5Kens6mTZtYtmwZa9euZf78+eTn55OXl8e9997rN7aNGzcybdo0li1bhtvtpq6ujkmTJpGfn8+ePXta6q1du5aUlBScTifjx49n5syZrFixogvEVWsAACAASURBVFW9wsJCNm3axDvvvENkZCR33HEHGzZsaPnlwZfL5eIPf/gDv/rVrzq1rZVSSinVvRpKrPnu0y4e06rcDEwg5WAFLmcdkbEOf6sqmyb4fUTzEB1fU6ZM4bnnnuPOO+/kgw+sMW9bt27lpptuIi0tDYCUlJR2296/fz8ff/wxU6ZMAcDtdjNo0CAqKiqoqKggLy8PgNmzZ/Pqq6+etf748eNbxsHPmDGj1RcRb48//jjPP/88AEePHuXAgQOkpqa2qvPGG29QUFDA+PHjAeuLTf/+/c9qq9kdd9xBXl4ekyZNavc5KqWUUqpnNFVU4YyCxAGXtSp3ZAwj/K0Kju56lYsnzQxSdL2DJvg9rKMj7T3N4/FQWFiIw+GgvLycoUOHdrkNYwxZWVns2LGjVXlFRUWn1s/Ly+PNN9/k5ZdfZt68edxzzz1nHXHftm0bW7ZsYceOHTgcDq655hrq68++4IUxhrlz5/Lwww932O+DDz5ISUkJv/3tbzsVp1JKKaV6QGUdNQ6Q8PBWxf2vmAB8xIndWzXB74COwe/jHnvsMTIzM9m4cSPz58/H5XJx7bXX8txzz1FaWgpw1hAdgISEBKqrqwEYOXIkJSUlLQm+y+Vi7969JCUlkZSUxNtvvw3Ahg0b/MZQVFTEgAEDWLRoEQsXLmT37t0AREZGtsxuU1lZSXJyMg6Hg3379rFz586W9b3rXXfddWzevJnTp0+3xF5UVHRWn2vWrOG1117jmWeeISxM3wZKKaVUqAivbqQ+Ts4qv/jqf8UtUH1gfxCi6l30CH4f4TsGf/r06cyfP581a9bw7rvvkpCQQF5eHsuXL+fBBx9k2bJlTJ48mfDwcMaMGcO6detatTdv3jwWL15MbGwsO3bsYPPmzdx1111UVlbS1NTE9773PbKysnjqqadYsGABIsLUqVP9xrZt2zZ++ctfEhkZSXx8fMtUnLfddhvZ2dlceeWVrF27ltWrV5OZmcnIkSOZOHFiy/re9TZs2MDy5cuZOnUqHo+HyMhIVq1axfDhw1v1uXjxYoYPH87VV18NwDe/+U1+/OMfB2JTK6WUUuo8RNd4qEk7O0WNS/8SZ5KB4jM9H1QvI8aYYMdwQRk3bpzZtWtXq7LCwkIyMzODFJE6V/q6KaWUUj3vvdxMTlwRx/V/2HXWsr9cfwX9zrjJ2/5JECILLSJSYIwZ52+Zjk1QSimllFIhodFZS3w9hPeL819hUAKp5YbGupqeDayX0QRfKaWUUkqFhPLD1ox+USnJfpc7RgwnzMCR917uybB6HU3wlVJKKaVUSCg7/DEAsekD/C4feMVVAJws+HuPxdQbaYKvlFJKKaVCQlXxQQASBg33uzxj4gyawqDm4IGeDKvX0QRfKaWUUkqFhLpTxwBIGj7K7/K41Ax7Jp3SHoyq99EEXymllFJKhYSGUmsKzLSLx7RZpyY9gvjTDT0VUq+kCX4fER4eTm5ubsttxYoVXW5j9erVLXPUr1u3juPHj3dp/cOHDzN69OhO13/ooYcCWs/bd77zHXJycsjOzubGG2+kpkbPxldKKaWCzV1eRU0MxKVc1GYdM6gfyRXQUF3Rg5H1Lprg9xGxsbHs2bOn5bZ06dIut7F48WLmzJkDnFuC31XdmeA/9thjfPDBB3z44YdcdNFF5Ofnd7kNpZRSSgWWVDqpdQBy9pVsm8VfPJww4Mi7f+2xuHobTfD7sMrKSkaOHMn+/dYln2+99VaefPJJANavX092djY5OTnMnj0bgAceeICVK1eyefNmdu3axaxZs8jNzcXpdFJQUMDkyZMZO3Ys06ZN48SJEwAUFBSQk5NDTk4Oq1at8hvHiRMnyMvLIzc3l9GjR/PWW2+xdOnSlqvvzpo1C4AZM2YwduxYsrKyeOKJJwD81nv66aeZMGECubm53H777bjd7rP6TExMBMAYg9PpRNr5IFFKKaVUz4isbqI+vv30dGC2dRX6k3ve7ImQeqWzrwOsutXJhx6ioXBfQNuMzrycgf/5n+3WaU6Cm91///3cfPPN5OfnM2/ePO6++27Ky8tZtGgRe/fuZfny5Wzfvp20tDTKyspatXXjjTeSn5/PypUrGTduHC6XiyVLlvDiiy+Snp7Opk2bWLZsGWvXrmX+/Pnk5+eTl5fHvffe6ze2jRs3Mm3aNJYtW4bb7aauro5JkyaRn5/Pnj17WuqtXbuWlJQUnE4n48ePZ+bMmaxYsaJVvcLCQjZt2sQ777xDZGQkd9xxBxs2bGj55cHb/PnzeeWVVxg1ahSPPvpop7e3UkoppbpHdK2bykFR7dbJmDCDz8JWUXtAZ9JpS1ATfBGZDvwKCAfWGGNW+CyPBtYDY4FS4GZjzGF72f3AdwA3cJcx5rX22hSREcCzQCpQAMw2xjSKyGPA/7O7dAD9jTFJ9jpu4CN72RFjzPUB3wg9pHmIjq8pU6bw3HPPceedd/LBB9bFJbZu3cpNN91EWloaACkpKe22vX//fj7++GOmTJkCgNvtZtCgQVRUVFBRUUFeXh4As2fP5tVXXz1r/fHjx7NgwQJcLhczZsxo9UXE2+OPP87zzz8PwNGjRzlw4ACpqamt6rzxxhsUFBQwfvx4wPpi079/f7/tPfXUU7jdbpYsWcKmTZuYP39+u89TKaWUUt0rvhYqE6LbreNIHkpJCnCsrN16fVnQEnwRCQdWAVOAYuA9EXnJGPOJV7XvAOXGmEtE5BbgEeBmERkF3AJkAYOBLSJymb1OW20+AjxmjHlWRFbbbf/GGPN9r5iWAN6nbTuNMf6zzXPU0ZH2nubxeCgsLMThcFBeXs7QoUO73IYxhqysLHbs2NGqvKKicye/5OXl8eabb/Lyyy8zb9487rnnnrOOuG/bto0tW7awY8cOHA4H11xzDfX19X5jmTt3Lg8//HCn+g4PD+eWW27hF7/4hSb4SimlVBDVV5YR2whhSfEd1q1JjyTleGMPRNU7BXMM/gTgoDHmc2NMI9bR9Rt86twA/N6+vxm4TqzB0jcAzxpjGowxh4CDdnt+27TXudZuA7vNGX5iuhV4JmDPsBd47LHHyMzMZOPGjcyfPx+Xy8W1117Lc889R2mpNces7xAdgISEBKqrqwEYOXIkJSUlLQm+y+Vi7969JCUlkZSUxNtvvw3Ahg0b/MZQVFTEgAEDWLRoEQsXLmT37t0AREZG4nK5AOt8geTkZBwOB/v27WPnzp0t63vXu+6669i8eTOnT59uib2oqKhVf8YYDh482HL/pZde4vLLLz+HraeUUkqpQCk99D4A0antjxwAkEH9SK2Ehsry7g6rVwrmEJ0hwFGvx8XAVW3VMcY0iUgl1hCbIcBOn3WH2Pf9tZkKVBhjmvzUB0BEhgMjgK1exTEisgtoAlYYY17w90RE5DbgNoCLLmp7Wqdg8h2DP336dObPn8+aNWt49913SUhIIC8vj+XLl/Pggw+ybNkyJk+eTHh4OGPGjGHdunWt2ps3bx6LFy8mNjaWHTt2sHnzZu666y4qKytpamrie9/7HllZWTz11FMsWLAAEWHq1Kl+Y9u2bRu//OUviYyMJD4+vmUqzttuu43s7GyuvPJK1q5dy+rVq8nMzGTkyJFMnDixZX3vehs2bGD58uVMnToVj8dDZGQkq1atYvjwL66I13yUv6qqCmMMOTk5/OY3vwng1lZKKaVUV1UU7SUMcAwY1GHd+C+NgK1nKNr5ApdN01/gfYkxJjgdi9wITDfGLLQfzwauMsZ816vOx3adYvvxZ1gJ+wPATmPM03b574Dmwd1ntelV/xK7fBjwqjFmtFdf9wFDjTFLvMqGGGOOicjFWIn/dcaYz9p7XuPGjTO7du1qVVZYWEhmZmZXNo8KAfq6KaWUUj1nx6+/R9Ljr9H0i0Vccf097dYt3PJb+O5/c2b+l5l03+96KMLQIiIFxphx/pYFc4jOMWCY1+OhdpnfOiISAfTDOtm2rXXbKi8Fkuw22urrFnyG5xhjjtl/Pwe20Xp8vlJKKaWUChDnKev6OinDszqsO2LCDTSGQ+1n7R537bOCmeC/B1wqIiNEJAorwX7Jp85LwFz7/o3AVmP95PAScIuIRNuz41wKvNtWm/Y6f7fbwG7zxeZORORyIBnY4VWWbM/ig4ikAV8BvE8AVkoppZRSAdJYVoYHSBvR8fHUmMSBnEkFOaZj8P0J2hh8e0z9d4HXsKa0XGuM2SsiPwV2GWNeAn4H/EFEDgJlWAk7dr0/YiXcTcCdxhg3gL827S7vA54VkeXA+3bbzW7BOmnXe7xSJvBbEfFgfRFa4TPDj1JKKaWUChBPeTXVDohO9D+9ta/atEjSinUmHX+COg++MeYV4BWfsh973a8Hbmpj3Z8DP+9Mm3b551iz7Phr6wE/ZduBK9p9Al1gjNGrpfYiwTo3RSmllOqrpKqeurgurDAkieRPSqivOENMUlq3xdUbBXOITp8RExNDaWmpJo29hDGG0tJSYmJigh2KUkop1WdE1jTRENf51DTx4i8BcHi730kO+7SgHsHvK4YOHUpxcTElJSXBDkV1UkxMzDld9EsppZRS5ya21oMztf2r2HobmPsVDDs5/eE7XP61hd0YWe+jCX4PiIyMZMSIEcEOQymllFIqJBljiK+FsoTO/3o+YtwN7It4lLqDOpOOLx2io5RSSimlgqruzHGimiA8ObHT60QnpFOSAmHHK7oxst5JE3yllFJKKRVUpZ/tBiA6LbVL69X1jyLhtKs7QurVNMFXSimllFJBVX6kEIC4AYO7tJ4MSSapBurOnOiOsHotTfCVUkoppVRQ1Zw4DEC/wZd0ab3EL1n1i3boTDreNMFXSimllFJBVX/6JADJGVldWm9Q7iQATn+4I+Ax9Waa4CullFJKqaBqLCujKQxSMsZ0ab2MsddTHwnOzw51U2S9kyb4SimllFIqqExFLTUOiIpJ6NJ6UXHJlKRC2InKboqsd9IEXymllFJKBVVYVQO1cee2rjM9isQSnUnHmyb4SimllFIqqKJqmmiIDz+ndcOGpNCvBmpPHQ1wVL2XJvhKKaWUUiqoYmsN7vjIc1o38ZLLADiiM+m00ARfKaWUUkoFjcftJr4OJDH2nNYfcmUeAKc/3BnIsHo1TfCVUkoppVTQVJ/4jAgPRKQkntP6F115Pc4ocH5eFODIei9N8JVSSimlVNCUfb4HgJi0/ue0flRMAiWpQrjOpNNCE3yllFJKKRU0FcX7AYgbMOSc23D2j6JfSVOgQur1NMFXSimllAqwT/7ya15fdF2ww+gVak5YQ2v6Db30nNsIH5JKQh3UHD8coKh6N03wlVJKKaUC7NALGxj61nFqy04EO5SQ13D6NAApI7LPuY1+l1oz6RTteD4gMfV2muArpZRSSgVabQMA5Yf3BDmQ0Ocqr6AxApKHjD7nNoZc+f8AOPPRu4EKq1fTBF8ppZRSKsDEaV1ZtfxIYZAjCX2mopZqB0RExZxzGxfl/gt10eA8pDPpgCb4SimllFIBF+G0TvisOXkkyJGEvvDqRuri5LzaiIyOoyRViDheHaCoejdN8JVSSimlAizSaQBwntYx+B2JrnHTGB9+3u3U94+i35kmjDEBiKp30wRfKaWUUirAouutJLOxrDzIkYS+2FqDJyHqvNuJGJpOvBNqig8GIKreTRN8pZRSSqkAi7HOscVdqUNG2uNpbCS+DqRf7Hm31e+ykQAUbX/hvNvq7TTBV0oppZQKoEZnNbGN9oOq+qDGEuoqjn5CGBCZknTebQ0da1134MzH7513W72dJvhKKaWUUgFUdfxAy/2IGlcQIwl9pYc+BCA2fcB5tzXsiunUxEDD4aPn3VZvpwm+UkoppVQAVZ34Ygx4VK0niJGEvqqj1pehuAFDz7utiKhYzqQJ4Sd0WJQm+EoppZRSAVR72jqCXJYIjjqd0aU9taesaUSTh40MSHsN/aNJOuPu8zPpaIKvlFJKKRVAtaXW1JhVKWHEO8Htauxgjb6rvqQEgJSLrwxIexFD04mrh+qifQFpr7fSBF8ppZRSKoAays8A0NQ/jjADFUf2Bjmi0OWuqMQZBUkDLg1Ie0mXZQJQtOPFgLTXW2mCr5RSSikVQI2V1tz3UUOtE0fLij4OZjihrcJJtQMk/PwvdAUwbNwUAEo/3hWQ9norTfCVUkoppQKoqaoGgKRLrKPJ1cf1wkttCa9upD5eAtbekFFfpToWGg4XB6zN3kgTfKWUUkqpAPLU1OGMguThVoJfc6pvJ5vtianx0BgfmKP3ABFRMZxJEyJO1gSszd5IE3yllFJKqQAydY04YyD5oiwAGs6cCXJEoctRZzAJ0QFts2FADMklfXsmHU3wlVJKKaUCKLzORX2MkHzRFbgFXOUVwQ4pJLnqaomrh7B+cQFtN3Jof2IboeKzjwLabm+iCb5SSimlVACFO924YoSI6FhqHGCq6oIdUkgqP/QBAJGpyQFtN3nkKACO7HwpoO32JprgK6WUUkoFUFS9wR1rjSuvc4BUNwQ5otDUPLtQbPrAgLY7bNxUq/29uwPabm+iCb5SSimlVABF1xuMIxKAxrhwImvdQY4oNFUfs2YXShg0PKDtDh11HZUOaCg6FtB2exNN8JVSKoS8es909r2+NthhKKXOg6MeiLNOHG2KiyC21hPcgEJU3UkrAU+66PKAthsWHklZmhDVh2fS0QRfKaVCRHXJYTJeKeLg6v8JdihKqXNUX1VKVBOExzusgsQY4nQIvl8NpdbsQukXXxn4tgfEklzi6bMz6WiCr5RSIeLUvh0ADPysnqYGZ5CjUUqdi8rj+wGISEgAIKxfPDEucJafCmZYIcldXkVNDMQlDwt421HDBhDjgvL9BQFvuzfQBF8ppUJE+ed7AYirh71/0aP4SvVG1ScPARDVz5oZJjrF+lt6+IOgxRSyKp3UxIGEBT4dTb78CgCO7vxrwNvuDTTBV0qpEFFz7FDL/eI3Xg5iJEqpc1Vz+ggAMSnpAMSmWTPEVB75JGgxharImibq47onFb1owjQAygr3dEv7oU4TfKWUChH1p62f8I8NFGI+KQlyNEqpc+Ess97HcXZiH2/PEFN9sihoMYWqmBo3rviIbml78KV5lMdDY9Hxbmk/1GmCr5RSIcJdWkVNLLjGDGHwKcOpwneCHZJSqosayq0TR+P7W4l9v2GXAeA8fTJoMYWquDogMbpb2g4Lj6A8VYg6Wdst7Yc6TfCVUipEhFXUUx0vjJh+IwB7/5wf5IiUUl3VWFkJQOLALwGQmpEDQENZWdBiCkUNlaXENEJYUny39dE40EFyqQfj6XvTlGqCr5RSISK6qomGxHAu++pCKuLBuUvH7CrV2zRV1+ABEgdZR+7jUy/CGQXuyurgBhZiyj5/H4Co1JRu6yNq2ECiXVC2791u6yNUaYKvlFIhIr7a4O4XTVh4OKWXxjHws0Ya66qCHZZSqgtMjRNnNEREx1oFItQ6QCp16ltv5UXWAQzHgMHd1kdKZjYAR3b2vUkLgprgi8h0EdkvIgdFZKmf5dEissle/g8RyfBadr9dvl9EpnXUpoiMsNs4aLcZZZfPE5ESEdlj3xZ6rTNXRA7Yt7ndtR2UUqqxpoLEOghLSQQg+epxOBrhoxf/O8iRKaW6pK6R+pjWRU6HEF7rCk48Iarq2OcAJA7M6LY+Lho/HYDywr43RWnQEnwRCQdWAf8MjAJuFZFRPtW+A5QbYy4BHgMesdcdBdwCZAHTgV+LSHgHbT4CPGa3VW633WyTMSbXvq2x+0gBfgJcBUwAfiIiyQHdCEopZTv16XYAovunAXDFTT+gKQxO/v31YIallOqisDoX9bHSqswVH05Ubd8bB94e52lrdpukDN/UL3AGX/JPlMWDq+hEt/URqoJ5BH8CcNAY87kxphF4FrjBp84NwO/t+5uB60RE7PJnjTENxphDwEG7Pb9t2utca7eB3eaMDuKbBrxujCkzxpQDr2N9mVBKqYArPWgdYUoYnAFA4qBLOT40DEdhaRCjUkp1VUS9h6aY1umVJz4KR50JUkShyXWmDI9A2ogru60PCQujPC2M6FN13dZHqApmgj8EOOr1uNgu81vHGNMEVAKp7azbVnkqUGG34a+vmSLyoYhsFpHm6yV3Jj6llAqIqqMHAUjOyGwpM9nDGFhiOP7hG8EKSynVRVFOD+7Y8FZlYYkO4uvA7WoMUlShx11ZTXUsOBL6d2s/ruaZdNzubu0n1OhJtvAXIMMYk411lP73HdQ/i4jcJiK7RGRXSYlenEYp1XXOU9ZPyOmXX9VSdsm/3ArAJ39eHZSYlFJdF1MPHkdkq7KI5H6EGagsLgxSVKFHquqpjev+fqKGDyKqCc7s3d79nYWQYCb4x4BhXo+H2mV+64hIBNAPKG1n3bbKS4Eku41WfRljSo0xDXb5GmBsF+LDbuMJY8w4Y8y49PT0dp6yUkr55zpTTn0kJA4a2VJ2cd63KUuExt37gxiZUqqzPB4PjnoIi2t9lm10qnVuTVnRx8EIKyRFVjdRH9/9aWjq5dZMOkf/8Uq39xVKgpngvwdcas9uE4V10uxLPnVeAppnr7kR2GqMMXb5LfYsOyOAS4F322rTXufvdhvYbb4IICKDvPq7Hmj+ev0aMFVEku2Ta6faZUopFXBS7qQ6HsLCv/hpPyw8nPLL4hl42EVDtV4kR6lQ56w4SYQHwuIdrcrj+ltTQVYdOxiMsEJSTK2HpvjIjiuep+ETvw5Axb6Pur2vUBK0BN8eD/9drKS5EPijMWaviPxURK63q/0OSBWRg8A9wFJ73b3AH4FPgP8F7jTGuNtq027rPuAeu61Uu22Au0Rkr4h8ANwFzLP7KAN+hvWl4T3gp3aZUkoFXGSVi7rE8LPKU79yNbGN8OHzjwUhKqVUV1Qd+xSAyMSEVuUJg62r2taeKu7xmEKRMYaEWiAxpsO652vg8AmcSQTXkZPd3lcoiei4SvcxxrwCvOJT9mOv+/XATW2s+3Pg551p0y7/HGuWHd/y+4H72+hjLbC23SehlFIBEFftoXz42f/srrjph3ye/zqn/u8NmPOzIESmlOqsqlOHAIhKan111pSLsigF6ktOByGq0OM8c5xIN0QkJXRc+TxJWBgVaWEknOpbFxrTk2yVUirI3K5GEmtAUuLPWhafdhHHLwonobA8CJEppbqitsQ6Qh+b0vp8vOTh2XgEmioqgxFWyCn9rACA6LS0HumvaUAcKaUeTFNTx5UvEJrgK6VUkJV+XkCEB6LSUvwuD8vOoH8ZHNnV9y63rlRv4iw9BUBc6uBW5ZHRDqod4KmsDUZYIafi6D4AHAMGd1AzMKKHDybSDac/+L8e6S8UaIKvlFJBVnLAOprlGDzU7/JLr58DwP4X1vRYTEqprmuotC5MFz9g+FnL6hwQVt1wVnlfVHPsMAD9hlzcI/2ljsoF4Nh7/9sj/YUCTfCVUirIKoqso1lJF13md/mIL9/EmSRo2vNZT4allOoiV2UVAP0GXXrWskZHGJG1fetiS21xllgnvCZnXNEj/WVc9Q0Ayvfv7aDmhUMTfKWUCrLaE9a43fRLx/mvIELlyEQGHXZRV3GqByNTSnWFu7oGt0D8gC+dtawpPpKYOk8Qogo9rtJymsIg7aLcHumv/7AxlPQD95G+8/mpCb5SSgWZq6SUpjBI/VIbCT6Q/k+TiG6Cj/70aA9GppTqCk9NPXUxEB5x9vzuJjGauLogBBWCPJU1VDsgKjaxR/prnkkn+nTfmUlHE3yllAoyU15LVTyER0a3WeeKmT+gIQJK3nqzByNTSnWF1DVQ38bU7uH94olphPqKMz0bVAgKq2qgNk56tM+mgfGklBo8DX3jPAhN8JVSKsgiKhupTWj/49iRMogTwyNI3KfT7CkVqsKcbhpj/CeuUcnJAJQefr8nQwpJUTVNNMT3bAoaO3wIER44/cG2Hu03WDTBV0qpIHNUuXEldnzdwYjci0mvgEM7/tQDUSmluirS6cYV4z+1ikkfCEDFkcKeDCkkxdYa3AlnD2PqTqlZYwAo3vVaj/YbLJrgK6VUEHncbhJqwCQ7Oqx72fXzATjw4rpujkopdS6i6g2eWP9f1hMGWlNnVp8o6smQQo7xeIivBUmM7dF+R0ycgQeo3P9Jj/YbLJrgK6VUEFWdPECMCyJTkjqsO/yqGZxOAc8Hh3ogMqVUV8XWg4nzf2Q6aag1daaz5ERPhhRyao4dJNxAeHK/Hu03bfBoziSB++jpHu03WDTBV0qpICrZ/y4AsQMHdap+9eXJDDripqa0uDvDUkp1kcftJrYeJM7/WbYpI3IAaCwt7cmwQk7pIeschJj0tB7tV0SoTAsn9lR9j/YbLJrgK6VUEJUf+hiAxGFnz5vtz4C8a4hyw0ebdbpMpUJJbUmRdWQ6Ps7v8vjU4TijwF1Z3cORhZbKI58CED9gWI/37R4UT1K5wVN/4Sf5muArpVQQVR+3xuOmXpLTqfrZ37yH+kgoffud7gxLKdVFlSesxDWyn/+hJxIWRq0DqOo7c7H7U3PiCACJQzp3UCOQYjKGEeGBk7u39HjfPU0TfKWUCqKG0yUADBj5lU7Vj05M48SISJL3V+Nx9/xl709/+g+2PPBvNDVc+EfAlOqK6pPWl/WYpJQ269Q7hPAaV0+FFJLqS6yryaZe3DNXsfWWnjUWgGMFmuArpZTqRp7SKqocEBWf3Ol1osZcSkoVfP7Wpm6MzL9dP1zEkGc/Ysv9M3q8b6VCWd2ZYwDEpKS3WacxLpyoWk9PhRSSXOUVNERAypDRPd738PFfB6Dy0Kc93ndP0wRfKaWCKLyygZqErl3RcdQ3bwfgs5ef7o6Q2rTnuUcY8amLKgcM+d8i9r68qkf7Vz3nzR/O4O+3fjnYYfQqzjJrdpa4tKFt1vHER+GoMz0VUkgylbVUx0FEO1fu7i6pgzJpiICmqgv/NEer8AAAIABJREFUPAhN8JVSKoiiq9w0JIZ3aZ3BOVM5mQ7mwyPdFNXZPG43JavXUxEHw9Y9TrUDSpfn62w+F6iG9w+QtLcc4+nbR5u7oqGiDIDEQRlt1pF+scTXgaepqYeiCj3hVY3UxXXtoEaghIWFUxsLpubCPw9CE3yllAqihBqDp1/XL/hSd3kKQ466qT75eTdEdbYdv76Locc81H4ji8HZU4i+ayap5bDtrn/tkf5Vz0qo8BDTCKWfvhfsUHoNV1UVAIkDL22zTkRSP8IMVBzb11NhhZzoGjeN8V07qBFI9bEgdRf+eRCa4CulVJDUlZ8k3gnhqQldXnfgNVOI8MCHz3X/dJmNdVW4n9nKqVSYfN9TAIyds5zDk1L4UkEN76z6brfHoHpOQ1Up/Wqt+8W7/je4wfQi7ppamsLAkXpRm3ViUqy538sPf9RTYYWc2DqDOyEqaP03xoYRUXfh/4KiCb5SSgVJyac7AYjpP6DL614x4/vURUH5jn8EOqyzvPnIfNLLIOpb1xEZ+8WXkSmP/ZXjA4So/5+98w6TrCrz/+dUzqFznJ7pyZEJgEiOEhTZRV0wrHF1DavLYkaWRRQVc3YNq7L+1oggIggikp0hDkzO3TOdQ3VVdeV4f3/c6qFnpkN11a261dX38zz1THfdc9/z7ZqqW+ee857v+5NHGNqr2XZWC4O7Hj/+89j+HSoqmV9I4ThRC+j0089O2xpbABjvPVQuWRVFNpHAHgWda+6rlkqRtuoxRas/9Uwb4GtoaGioxOjhlwFwtHXM+VyT3c1gp4maA5GS2mWGR47i+NMeetp0nPX+b52oweGl47abMKZg+43/SiZd/cveC4GRfc8e/zlxrF9FJfMLEU0Rm7qI7XFcrZ0ARIZ6yqCo8gj27EUHGGrydw1TmqzdhGUBuPxqA3wNjRIQ9Q9y/7WbeOm3X1RbikYFE+rrAsC7ZH1B51u3rMYbhgN/+7mCqk7kic++C3cEmj7w9ilnJpdd8DZG/3EVHV0ZHrn52pLp0Cgf490HARhzgG4orLKa+YM+liZpmXnzqHfRWgDivuFySKo4xrrkSQ1LfYNqGoTDjC0GklTdbkbaAF9DowQ89ql/onNPnN4H7lVbikYFEx8cAKBx5VkFnb/mDR8CoOuB0vjhDx98lubHBziyysSGN3xy2nYX33oXXcsNNN13iH0P/7QkWjTKR3xwmKQefItNOH3Vn6usFMZ4lrR15s2j3kXryQrZC34hEuyV/eedTe2qadA7HegliI1U9yqKNsDX0FCY/X/9Ge1PytVJDYPa7JfG9KRHg0RN4GzsLOj8pjXn0d8o0O/sU1iZzLO3fRhjGlZ/9KYZ2+n0es78xk+JWmDws18lGhgqiR6NMjESIuACXUsN3hDExgbUVjQvMMckslbDjG1MFidhq+wFvxCJDMq2up72lappMHrcAAR69qqmoRxoA3wNDQVJJ+L03P4VohboWm7AM1K63GiNufPgx6/i4YvXqi3jOLpAjNDcDXROIL66jpa+rOK2e0ee/h2Lnx+n+3QHneddN2v7umVnIN5/FY2jEo/ecI2iWjTKi9mfJOLR41gi33j2PPsnlRXNDyxxwD67O0zEDiKULL2gCiQxKk9+1XaeppoGi1d2MhofOKyahnKgDfA1NBTkb7ddR+uAROy6M9CtaMEdAf+xXWrL0sgh7emhrT9L2FcZS7Om8RRxZ3F+0G2XXIVegh2/+7pCqmT2fuXzJI1w5s3fzvucV733axw+y0XntiDbfvwxRfVolA9nUCJdY6Fx3asAGN61TWVFlU8mlcSaAGGfZZctkLDpMEQWZupTeixI1AyehhWqabDVNQMQGa7uIn3aAF9DQyH6dzxC3X0H6F6i5/yP/QzP8jUAHN12n8rKNCZw5PKJe198SGUlMraQRNpTXLn2tVd/hLAFxre9oJAq2HHPV+ncl2Tw/CYaVr56Tude8q0/MlgH4gf3M3LoecU0aZSHqK8PZwz0DR4WnXE1WQHhri61ZVU8oaHDsjuM0zFr27TDiCVS/TaNUzIeI2wDnX7mVKZS4miS6xTEfNWdSqgN8DU0FCCbzfLSZ/4DnQRrb/sCOr2e1jMuAWB0j3IDL43CSYYD1ATln0f3qf9/kopHcEdAeO1FxTFYbAx3mqk7GFXEpjKbyTD4vZ8RtMP5t8x9w6zV3UjLLTdiScBzN7y7pBaeGsrT//LfALC1tmL3NONzg9Q/prKqyifYL/vaG93u2Rs7zTiiJRZUoehDSaL2mZ2GSo27RV49SPh9quooNdoAX0NDAf7+nQ+y5GCKwcs7WHTG6wFo2fAaEkaId1f3MuB84dj2P6PLuaKFu9WfkRw99Dw6CcwNdUXHsp+xFncE9j/0o6JjbfvRjbT3ZglftQpHw5KCYqx8zXsZvHopSw6leOTWNxWtSaN8+A5uB8DbKa9AhuoMWEcXZr74XAgPHwXA4qmZta3e7cCShESgugeYU2EOZ0k51Ju9B/C2riILpIMhVXWUGm2Ar6FRJIG+fRj+93H6GwWXfO53x5/XG02M1grNSadCGNrx9+M/pwfV/2IdPSivItibi7eLW/vGj5AFjj54d1FxUvEIqV/8hREvnP/pnxcV69LP30P3Ej0N9+zl0OO/LCqWRvkIHZU3HjatOxeATKMD75hENqkN8mciOio7WVlrmmZta6zxAOA7+nJJNVUi9oiE5Jx9I3Ipsdi8RC2QDVW3k5E2wNfQKJKnPvnPOKPQ9PH3Y7SeaIkSb7Dg1px0KoLQEbl4z3ANGEZjKquBYI/sB+3pWF10rPrlr2KgWWDYM1hUnCfueBcNY6B78/mYbHmkGsyA3mBk89d+QMIIx/7z8yRCWprHfCA5OELcCPWdZwJgaW/BlIGBXX9TWVllExuT3WHsDW2ztrXWyTcBwZ49JdVUaaSjEWwJEJ7i0hKVIGoFIgm1ZZQUbYCvoVEEL/3mCyx9PkzXqz2sfd1HTjluaKvHEwH/AruQVyLp/lHGbRBqseD0q3/TFR3oB6B+xRmKxEuuaaSlL8tY10sFnR/29WL/4056WgVnf+j7imhqXHMe6X+5hOZhib/+x+sVialRWsRohIBbvkEDqF21AYD+7Y+qKaviSQb9ALgaZ09rm9jkGRroLqGiyiPQtQMAU41XZSWQsAr0Ve5kpA3wNTQKJBEaI/itXzDmggvv+PWUbdwr5NnZo1u1irZqYxyNEazRoWt04xmH2PiIqnpSIz5SeqhZvFGReO2XXY0O2HnXNws6/8nb3ok7Ag3veys6fXHWnZM5+0Pf5fAWB51P+XjuzpsVi6tRGiyBFFHPKznSbVuuACBwQJukmInU+DgArpbls7Z1t8mbPKPDC6uA2Fi3PMC3NjSqrASSVh3GmPoTPaVEG+BraBTII59+Iw1joP+XK3HUd0zZpnXLxQD4NCcd1XGPZUnWW7C2t6MD+rY/rKoeKRAl6ESxwfSa136IcRuEn5l7Xu/o4RdpfLSPIyuMbLzuM4romcxF37qH4RpIf+f3jB3doXh8DWWQJAl3QCJbYz3+XMPSMwhZIdVb3ZaCxZINx0gawOZpnrVt7RJ5VSThU38vUDkZ75OdhhzNi9UVAmRtBswxSW0ZJUUb4GtoFMChx39J26MDHF5r5qz3TV9gqHXjFSSMEDvaV0Z1GicT7D+AOwKG5jpqV8hfriN7n1FVkzGYJOZQ7hKsN5oZWWqh4XCcdCI+p3Ofue2DmFKw8qOfVEzPZOx1bdTf9EEcUdj67/+sWWdWKOH+g1iToG94xQlG6HT4awXG4erekFg04ThRCyBmt4B01i0hboRMYLz0uiqIyKD8PehtL37fUbFIDjNW9bdilRRtgK+hMUcyqSRHPne7XOXzi/89Y1u90YSvVmAYqG47rkqn94UHAXB2LqV1o1yfYLzrkJqSsIWyJN1GRWM6z9yIIwZ7H8g/h/7otntY9FyQ7k12ll3wVkX1TGbN6z5M35XtdO5L8tgX3layfjQKp3/HYwDY2xed8Hyi3orbt0ALM+WJiKaIz17EVm6r0xG2AaG53YjPd5KjowDUdiqTllgMOqcVSwrSseq9cdUG+Boac+Sx299Ke2+W8TdsoGHFWbO2jzVYcI9qM5ZqMrL3RQAa156Ft+M0omZIDYyqpiebyeAKgfDYFI27/k3/QVZAz1/zr56868ufJaOHM27+hqJapuKyL93H0Q4d3t++RNfW35e8P4254Tskp3fVLl13wvOGljqcURjv3a+GrHmBPp4hZcl/SBW3CfSh4gvTzScywRAhK7i8i2ZvXGIMLhdQ3e9pbYCvoTEHhvY+jeeeXRxbpOPCT/9fXucY2urwhCHQu7fE6jSmI9rdTVZA++mvRafXE/AI9CPqzdwEenZhyoCxfvaiOHOhZvEG+lp0mHbnly+9695v0bknQd+5DTSuOU9RLVOhN5rZ8JVvktHD4Zv+k2R0YaUoVDrhnm4AmtZfcMLzrqXLAOh57v5yS5o3GGNZ0tb8h1RJhx5TZIFN/ARjhG3yCobamD2yk894nzbA19DQAJ6/6YMY0rDi1v9CZ8ivGp/mpKM+0mCAMTeYnbUAxGtNOFS0yhze/ywA1qYWxWNn1jXROigxfGDmPQbZTIa+7/2IcRuc918/VVzHdLRsuIzoO8+hdUDirx+9umz9asxOetBHxAy17etPeL5pg3zzN7rnRTVkzQvMcYmsNf+Uu6zDhDVa3Zs8T8YYShFXcN9RMVhrZSef0OBRlZWUjsp4pTU05gFbf/DvdO5N0n9pK0vO/qe8z2vZLOd8j+7WnHTUwuJLEq6Z5FZT78IbhGQ0qIqewDF5Nce9aHZLvbmy+PI3ALD7rm/P2O7Z//kEi45lCV65HFfTUsV1zMT5N/yEwxutdDw6zPZf317WvjWmR+eLEHSLU2ZY2zdfSUoP0aPVOxgqFmscsM+hQqvLiiMK2XR1e7FPxhLJknLkNzFWauwNrQBERvtVVlI6tAG+hkYehIa6kH76Fwbr4JLb75rTuW2bJpx0ekukTmMmspkMXr9EtsFx/DlrWwt6Cfp3qlOdM9x3DIC6pZsUj73yNe8jYIfo87unbZNOxIj/758Z8cCFn/6F4hry4YJv/o4xD0S//v8IVPEy+XzCEsgQ85w6ADPb3Pi8wIA6N8SVTioWxpoEnd06e+McRo8LvQTj/QdKqKyysEVAcprVlgGAs0kuSJYYU7ceSinRBvgaZWHbjz/K0Wfnb4rK4598M+4Q1N7wLkwOz5zO1RtNjGpOOqoxvP9prEkwtTUdf867bK18bNdWVTQlh0fJCqhbrkwV28noDAZ8y200Hk6Qik+9z+CJr7ybxlEJrjsHk8OtuIZ8cDYtxfOJ9+AOwdMfuV4VDRqvkM1k8IxLSHVTb/yO1Bqxjy6sTaH5Mj5wEACDyzFLy1cw19YB4O/eWRJNlUYy6MOSAp0n/9eolHhb5dTZZCCgspLSoQ3wNUrOI7ddh/trD3D4Y58mk0qqLWfO7PzD11myLUjXmU42vPETBcWI15s1Jx2V6N8uz9J7lr/ivdxy2oUABI+oM3OcHQsRsoHJVprBtfusLdgTsPuPp6bpRMcGsPzhJfqaBed+eGab11Kz/tqPcezSZjp3x3nqVav581Xruf+dr+avN1/L83feTP/OxxZUCoOaBLp3YE6BsbFuyuNSk4uaAKSj4TIrq3zGBw8DYHTnP/lja5D330wUf6p2/Ie3A2CuVdZYoFBcDZ0kDJAOVe/7WRvga5SUv3//IzT9agc+NzQPSzz9nQ+qLWlOJKNBRr/2E4IOOP+O/FxzpsLQXi876fTtU1CdRj6MHdgFQMuGV5xB6leeTcIIif5hVTQZggnCrtkL4hTKhjd9lIyA/kf+fMqxJz73Drxh8L73n/LeKF5KLvvKfRx9/WKCrSZMkQzNLwZovWsv9i/+nuCbPsDOjet59Lw1PPCPG/nzBy7kiTvewZ4/fptQ/2G1pVcVA7seB8DRvnjK47bFi9BL0Pfiqe+phU54WE65s3qmvjmaCldLp3zu4LGSaKo0xo7KKYO2htkr/ZYDnU5PxEpV1yJQ/+quUbW89NsvYv/+www0Cc785b288KbXo/vd06Q+EMZorYxlutl45DNvYvGIxNiHL8bVXPiGSNfyVUAPR7fei+eNq5QTqDEr8Z5+EgZoWnfx8ed0ej1+j0A3os7sjSWUJVpbusuvu3Ul29p0WPae6PU/1vUS9Y/00LXMwFVvubVk/c8Fo8XOFV9+ZdCYSacY2vs4fdsfxX9wN4m+QXTDYRyDCWr3DaGXhoBn6eUHhKwwXqMjWW/F2FqPq3MljRvOoXXzFRjtTvX+qHmI//BuaoHaFadNebxu9WZgOwMvP0nHuW8qq7ZKJ+obwMUrziz54F20Fj8QH1VnkqHchPqP4AScLUvUlnKcuBVEdP5lFeSLNsDXKAkHHvk56dv/l6gTNv34F7ial2N+88V4v/M3nvjKu7nklt+qLXFWurfdTcvDPXStNHHVh75XVKzWLZcQ5WFGdz0Pb1RIoEZe6IZDjHkFeuOJDhexGgP2EXVyip0hiXBn/hvyCiG7vpXmB3oY2PU4zevk1Yutt32AxSlY/h83lrTvYtAbjLSsv5SW9ZeeciweGuXYiw8wtHMroa7DpAdGMY3E8R6K4HkpAnQT4yEOcAu9r2nj8m8/XP4/YJ4S7TlGLdC87sIpj7effiVD/A/jhxbOptB8iY+N4gLsDfkXcKpZtB6fgKS/enPAJxMdGsAJeBevUVvKcRJWHaZo9aYAagN8DcXp3f4Qvk/eAUbo/O5XqV22BYCz3v9tHrlrPbb7dhK7YQSrq15lpdOTzWTYd+st1Otg8xdmthvMh7ZNV7DT8CnNSUcFHL40ocZT7eukeifeQ2OkEzEM5tIOticTHjmKLQGGutJubu286jqyD3yVvXd/n+Z1F9Dz3J9Y9EyAro02XnfJu0rad6mwOOtYccHbWXHB2094Xspm8fXtouf5PzO272WM926HfdVrf1cKUsNjjNtgddPUK5U1bWvZ54B0f/W6jhRKMugHwNWU/+y0yeYibAUpqF7BvXKS9PlkY4EO5Z3DCiVj1WMart6N41oOvoai+Lq2c/hDN2BKQc0XP0bbltceP6bT6/G++1pqQvDE7ZU9wHj8jrfT0Z3Bf80qmtZeMPsJs6A3mvFpTjplJxkN4g0CTacOps2tTRgzMLTnibJqGtq3Te6/If/l/EJYftE78Tsh/oK872PHl/6TjA423/SVkvarBkKno659A5v+8ZNc8ulfEmoxYxvPqi1rXmHwxRl3z7wvJFirwzxcvTnLhTKxUdPTPLf0y4gNRDhRCkkVRzYQZtwGdldpr3tzIWs3Yqnit3NeA3whhFUIsbLUYjTmN2FfDy+++614gqD71JtZedl7Tmlz+j9/nqOL9XgePkxoqEsFlbMzevgFHL99kd5WHRfd8hvF4sYazLg0J52y0rv9LxiyYFvUfsoxzzLZVWdg11Nl1TRhi+du7yxpPzq9nrHlDpq6kuy852t07o7Td04dLesvnv3keY5UY8cVklfiNPLDFkiT8MxciTXVYMPryyJJC6sC62xkQ1FiJjA5vXM6L2HXYQhXb4rIZMR4nIhdbRUnIuwWbDGq9v086wBfCHE18BLwYO73jUKIPyrRuRDiCiHEfiHEISHEp6Y4bhZC/CZ3/BkhxOJJxz6de36/EOLy2WIKIZbkYhzKxTTlnr9RCLFHCLFDCPGIEKJj0jkZIcRLuYcif3O1kowGefLtV9EyKBF+/0VsevMt07Ztff+7cUXhyc//SxkV5s+2T70XSxKW3PzJU/K2i0HfVodXc9IpK0O7ngagdtXGU441rzsXgMDhvWXVFOrtBsC7ZH3J+/KecybWJIRu/wlhK5x7y09K3mclYKz3YsrIm4o1ZiebTuMZB6lu5hGYsa0RaxJ8B58vk7L5gRRNECugflPabsASWRgrTcZwmoS9spJG9C47egniI31qSykJ+bzatwJnAgEASZJeAoreBi2E0APfA64E1gBvFkKcvPviPYBfkqRlwDeAO3LnrgGuB9YCVwDfF0LoZ4l5B/CNXCx/LjbAduB0SZI2AHcBX57Uf0ySpI25x+uL/ZurlUw6xcPvuIjFh9MMXreWcz78/Rnbr/+HG+laYaTx8X7Gul8uk8r8ePann2Dpzhg9Fzay7KK3z37CHHCvkGeMj27T7hXLxfhheUNg+5YrTjnWuOYCUnpI9A6UVVN8aAiAhpVnl7yvDW/6GGkdeMMwdvlS3K0LYyHW3iyv2IwceEZlJfODkf1bMWTB1NQwY7uJWhJ9zz9YDlnzBl00RcIyd9tbyWXBHi2BoArEGs6Scs68QlRujG45dTPQs0dlJaUhnwF+SpKkk+tTK7GecSZwSJKkI5IkJYFfA9ec1OYa4M7cz3cBlwghRO75X0uSlJAkqQs4lIs3ZczcORfnYpCL+Q8AkiQ9KknSxEdsG9CmwN+2oHjw/RfSuTNG92UtXHLrXbOfACz/yI1YkrD19g+VWF3+hH29JH94H8M1cNEXlXf5ad18EQCju7XZr3KR6hshbAVvx6mz5QazFb8bRJmtMjO+IBEL2GtbSt6Xs2EJPUsMjHjgws/cOfsJVYJnsXwj4+8q7+rMfGVot7zS5epYOmO7lk3yNcy3f0fJNc0n9LEMqQIG+Hq3HWsSEqGxEqiqHCRJkm9knBa1pZyAuUauWzBRqKzayGeAv1sI8RZAL4RYLoT4DvB3BfpuBXom/d6be27KNpIkpYEgUDvDudM9XwsEcjGm6wvkWf3JVTwsQojnhRDbhBD/kP+ftnB46GNX0fnUGIfPcHL5N/+S93nLL30nXesttG31MVjmTY7T8fgnr6M2CM5/ux6re+aZrEJo3XQlCQPEuntmb6yhCMaRKP6a6S9zkRoDlrHyuijoAnFCztIVuTqZs3/0W9b+6peYnbVl61NtGla+CoBI/8IoIlQsgSPyjVD9is0ztmtddwlxI8SPVWdKQ6GYYhJpq37u53nlyrf+ClvJVprESD/GDOi9lVWbwl4rF92KDFenu10+A/wPI6fCJIBfIg+ybyilKDUQQrwNOB2YbDHRIUnS6cBbgG8KIaac3hBCvC93I/D8yMjCsRB77Ev/zKI/dXFktYkrfvI4Ov3cLnAbPn4ruiw8/8WPlUhh/uy+79t0PD3G4U12Nr/lv0rSh8Fk0Zx0yoxrLEuybvrk2Gy9g5qAVNbNmOZQmrhz7oOBQvG0rqZ2SeVY05WD2s4tpHWQHKnumVGliPbJA5zmDTNvwDYYzfhqBLoh7Ro2GXNcQrLNPf3EWtcEgP9odaaITOA78iIA5rr8K/2WA0eTvOUyNjqospLSMOsAX5KkqCRJn5Ek6Yzc42ZJkpQwFuoDJltbtOWem7KNEMIAuAHfDOdO97wP8ORinNKXEOJS4DPA6yVJOu5ZJUlSX+7fI8BjwJTfkpIk/UiSpNMlSTq9vr5yvd2V5NmffJza/32eox16Lr3zkYJ8xBedeQ1HtzjpeCHE0WfvLYHK/Aj07cP/+R8QdMA5d/y8pH3FGsy4RjRnj3IQHu7GEwZ98/Qz1+aWBswpOQe5XNhDEhl3ATvyNPJGbzQRdAJj6lQqnm9kRwIEHGD3NM/aNlZnwjm6MJxf8sWWAOxz/0zbm+ThSmigW1E9lUYgdwNjbyh9WuJccLUsAyDhr86JgHxcdB4WQngm/e4VQjykQN/PActz7jYm5E2zJ+8+/CPwjtzPbwT+Jsl+Rn8Ers+57CwBlgPPThczd86jvFJD9B3Avbm/ZxPwQ+TB/fGa0bm/05z7uQ44B6ju2+w82fmHr2P61p8Yrhec/fN7MLsKvys/49NfI6ODnV/5rIIK8yebyfD3D16HOwSOT74T76J1Je1vwkkn2K9Vgyw1x56/HwDnkuntKN1L5Fzt/h2Pl0VTMhLEGQFdbWUtVVcjEZcOY6B6y9AriWEsQWgWD/wJRLOXmnGI+4dnb7wASIYDmFOgd8x9ksvdtgKA6HB5N/qXm4kbGFfbzHs8yo23ZRVZIB0cV1tKScgnRadOkqTjtZQlSfIDRSco5/Lh/w14CNgL/FaSpN1CiNuEEBOONf8D1AohDgE3Ap/Knbsb+C3ygPtB4EOSJGWmi5mL9Ungxlys2lxskFNyHMDvTrLDXA08L4R4Gfnm4EuSJC34Af7hJ39N/LM/JmSH9T/6Ca7mqase5kvjmvPoe3UtS3bG2P/Iz5UROQf+evM/smR/kv6rOjjtjZ8seX/u5XIhlKNb1VuxWCiM7nkBgIa1Z03bpjF3zH9oV1k0De/fig4w11fWUnU1knKbsIUWhgVhsdgDGRLe/CyBHZ2yiV7Pc/eVUtK8IdC/HwCDc+437TWL5c3/yTGfopoqjdiwnALj7SjtBNpcsTpqiVogE6pOK6N8BvhZIcSiiV9yPvGKVAWQJOkBSZJWSJK0VJKk23PP3SJJ0h9zP8clSXqTJEnLJEk6M5cqM3Hu7bnzVkqS9OeZYuaeP5KLsSwXM5F7/lJJkhpPtsOUJOnvkiStlyTptNy/EzcEC5aBXY8z+NHPkhXQ/s3bFbP5O/vmHxA3weFvfV2RePmy895v0HzvQbqWG7jsS38qS58TTjojmpNOyQkf7SYLtG25cto2zaddQkZArLc8mwZ9R2RfdkdrxywtNYqmxo47BJmUNos/E+lYBE8IRF1+A9SGtWcCMLRrWyllzRsmHFhM7rkVuQJwNywjboRMoDpnkCdIjflJ66Cu49R6JGoTtQKR6ixnm88A/zPAU0KIXwgh/h/wBPDp0srSqDQCPXvY9/4PYI2D8/P/xuKzrlUstrdjPcMXtrDkQIqd95RnkO/v2UPwCz9i3AGv/u4v0RkMs5+kAK2briRpgFi35u5RarIDfgIusHmbpm1jsrnxu4Hh8nzBBo8dAsCzeHVZ+lvImOprMWTBd+QFtaXh0EEtAAAgAElEQVRUNEN7n0Qngbl5+s/JZDrOeB1ZIHykOq0F58qEA4vFO3eXKqHTEbaBNB5TWlZFkQ1EGLeDxeJSW8opxK0CfaQ695Tks8n2QWAz8BtkX/ktkiQpkYOvMU+I+gd59l1votYvkfnYtay5Snnv+vM+8xPGbdD3w58qHvtkspkMWz90Pe4QuD71nik90kuFwWxltFag15x0So5lNEGoZna3mrBXj2WsPLO80SE517ZhxavK0t9Cxt6SK3a1/1mVlVQ2Q3vkYmDuJfmlW9pr2vB5QOr3l1LWvCHmk9NPbPWFbSCN2QT6cHmtesuNbjxBxF4+a+C5kLLqMMaq0/gi37rBZmAMGAfWCCHOL50kjUoiHY/y2NtfQ2tvlsB7zuaMt98++0kF4GhcQvA1S+nozvDcnTeXpI8JHr7pGpYcSDHwuk7WX1t+i85Ygxn3aHVeUCqFbCaDd0wi3WCftW2m3obHXx6rzPSIn4QB3K3aDH6p8S6Ri5gHuveprKSyGe+Wc8jrV56R9zmhWj2W0cTsDRcAcb9sje2ob5+l5dSk7HpMker+PjCF0yQc+Q43y0vGZsAcUyTrvOLIx0XnDuBp5FSdj+ce6huXa5ScbCbDQ+86nyUHU/Rdu5zzbyztNoTzPv1TxpwQ/PndJRts7bzn67Tcd5iuFUYu/eLJpk3lQd9ahzcE4wMHVel/ITB6+DlsSTC1Ns7a1thcjy0B/mOlr84pAlHGncy5ZoTG3KlfLg9YIwNaUaaZiPX3kxHQsu7CvM/JNDqoGZPIpqsztWEuJINBAFzNywo6P+s0Yo1U5wBzAmtEIuOce52AsmA3Y63SDKl8bqn+AVgpSdJrJUm6Ovd4/axnacx7Hvq3S+jcHuHIRfW85gulHwxb3Q0kXr+B1gGJrT/4iOLx/Ud3Mv7FHxN0wqu/9yvVBlmu5bI1Y/c2zUmnVPS9+FcAPMtWzdrWtUT+Yu576ZGSagIwjqeIOStzJqvaqO3cTNIAqZHqdigpFmlkHL8LzPb8N4ma21swpWFoV3nsZSuZTEhOtyzYUc5pwxGlam+WpEwGexRwzd1GtBzoXFYsKcjEqm+Un883zRGgQm+9NErFX2+6hsWPDnF4s50rv/to2fo972P/w4gXUr9+lHRCuQ9cNpNh67+9FVcYPDf9K972tYrFniutm+VqkaM7n1NNQ7UzdkCejW/eOHs2Yf1q2RXEd6D0M/j28Swpd352hBrFodPrCTqAsYjaUioaoz9BxD23m86albLdYd/2v5ZC0rwiG44TNYPR4ijofIPXhV6C0MAhhZVVBpH+I+glMHjdakuZEr1Ldo8a792rshLlyedTHQVeEkL8UAjx7YlHqYVpqMehx39J890HOLLCyOX/81hZZ7qNVgfiTefQOCrx5Df/VbG4f/nk61hyMMXANctYd80NisUthLbNspNOtLtHVR3VTPxYH0k9NK+7ZNa2rRsvIwvEjpX2/yOTSuIKg/DOvi9AQxliLh2mYHVvYCwWRyBLyju3Kqxtp18OQGD/gi8NA9EEMUvhp5trZPcd/9GdCgmqLHxHXgTAUlevspKpMXtqgOosPpnPAP+PwOeAvwMvTHpoVClHHvw1OmDjZ7+M0VrYrEQxnP3h79PfKDDe/RzJcGD2E2bh5bu+TNv93XStNHHp5/+ggMLiMJit+GoE+oHq9j5WEzEcwu+VX+vZsLobCLggO1z8e20mfF3bMWTBWD93Oz2NwtCKXc1MIjSGJwy6+rnZFzYuPYuwBZJ91V2BNR9ENE3CUrhDjK1Bdt8J9lbnnqxgjzxwtje2qqxkaqy1ct3W8GC3ukJKQD42mXciV43dJknSnROP0kvTUIvU3qP43NC66QpV+tcbTdjfeiW1QXj8jncVFWus+2XCd/yMgAvO+d5vKmZzY7TBjEtz0ikZ9tEU0dr8MwtDXj1mX2ldQUYPysXN7M2V+UVXjYgaB+4Qiqb7VRODu+T0S0vL3CwedXo9/hqBYag6K4DOBWMsQ8pS+L4aV4tcGTg8WJ21UcIDRwFwtxdX9b5U2Bvk63FkpPpuVvNx0bkaeAl4MPf7RiGEOvYjGiUnm8lQdyxJoEPdDTFnvufL9LTpcDywj4ivv6AYmVSSZz70NpxR8P7nB3C3zb7hslzo22qpCcF4leZdqkkqHqEmAFJj/rOS6Vorbn9pnSwCR2W7Rnf7ipL2o/EKpoY69BKMHNS88KdiZJ980+lZsnLO5ybqLbh82iSFMZ4lYy184sjTIdu5xkeHlJJUUcRHhgGoXXKaykqmxtUo32BN2J1WE/ncdt4KnAkEACRJegnoLKEmDRU58tRvcEXBul7du22dXk/9v7wZTwSe/EJhs/gPf+pqFh9OM/QPK1j7OuVdeYphwknn6Db1U4aqjf6XH8aQBWt7W97nGJprcMYg0Fc6z/TIgFzxsn75lpL1oXEijtZFwCurJxonMt4tp4U0rDlrzufqW2txRyC8wCcpLHGQbIX7kNQt2kgWSPmDyomqINJjAeJG8LasUVvKlHhyE3/JQGlTNNUgnwF+SpKkk995WlJjldL9t98DsPTS61RWApuuv5nuTgN1jxwj2L9/Tue+9Nsv0PbAMY6sNnHJbXeXSGHhtGySnXRGdmkDD6UZ2PEkADUrN+R9jrNDnsUppStIcsRHRkDt0tNL1ofGiXgWywXFgkerbwOdEsQHhkjpoWn13GtXOjtle9ljzz2gtKx5gyRJWOMg7HPbpDwZk81F2AbZYFhBZZVDNhghZAOTsTJtMl11nSQMkBmvvury+Qzwdwsh3gLohRDLhRDfQd5wq1GFJHYdIWCHRWdeo7YUABb/2wewx+Gpz70v73NGD79I9Mu/wO+Gc7/324rJu59M+5arSBog1lWdeZdqEjwk3wy2bbk873NqV8mz6r7920uiCUAaCxN05LfxV0MZGledDUA0t3qicRKjIfwuMJrm/p5s2nAuACO7F67db8w/hCkDOoetqDhRG4hQdVYG1oeSRO2Fb0IuNXqDkYgVpFBcbSmKk88A/8PAWiAB/BIIAur6DGqUhGwmg/donLEOc8UMildf9UGOrDHR8tRwXnm0mVSS5z78DhwxqLvlw7hb5p5bWg4mnHR0g5qTjtKk+oeJWKBm8ca8z2nbIm8oj/QcLZUsDONJos7K/aKrRjzta0kYITUypraUisTsTxJ1F3atX7T5KtI6iHaX7jNT6QQH5MkEg2tuLkQnE7frMIars9CVKZwh6aiM8cR0xK0gokm1ZSjOjAN8IYQeuF+SpM9IknRG7nGzJEnVd6ujQe8L9+MNg2ntErWlnMDq/7gJYxqe+cK/z9r2Lx9/LYuPpBm+dhWrr/pgGdQVTrTBjGtE26SmNIaRKH6vmNNNqqO2nYAdMoP+kumyjmdIurSageVEp9cz7gD8mtvLVDiDEumawkzczQ4vPi8wWJ254/kwYa1odnuKipO2GzBHqjPz2RaRyDoru7hf0qLDEK2+G6wZB/iSJGWArBCiMkuQaSjKob/8CoDFF/2DykpOpPO86+jeaGPRswH6tj80bbsXf/U5Fj3Uy5E1Zi6+9a4yKiyM4046g4fVllJVOH0ZEnVzH7SEvDpMo6WZu8hms7hCIHmLW8rXmDtRt14rdjUFUV8fzijoGwofnIZrjdhGqm/mM1/CI3JxPGtNkUWcnGbsVXgPmk0kcMQAd2Vf99I2PaZo9d1g5ZOiEwZ2CiH+R6tkW91Edx4gZIXO89+itpRT2PSJLwCw/cs3TXl85OCzJL76S3weOO97d1VMitFMHHfS2Xqvykqqh7Cvl5oQ6Ju9cz43WWfB6S/NRT40eAhLCgy12lxJuUm7TdjHS2uBOh/p3yF74Nta83ebOhmpyUVNANKxiFKy5hUxn2wBaasrrraFzm3HmoRkuLpWQ0LH9gJgrKns617WbsRShXkp+Qzw7wb+E3gCrZJtVeM+GmV0kRG9ofLSCFo3Xc6xMz0seSnK4Sd/fcKxTCrJCx9+N7Y4NNx6A67mZSqpnBstmy4EYGSX5tGtFL3P/xkA+5K5O/nqm7x4IhD29Sgti5H92wCwNc2toJBG8YhaJ+4IpGLV6VJSKKMHXgTA07m64Bi2jnYMWWZcWa1mEoFRABwNi4qKY/TKExL+7peK1lRJjHW/DIC1rlFlJTMj7BZsMdkVqZrQKtlqADCw81HqAqBf1a62lGl51U3fImmAfd/40gnP/+WjV9LRnWHkjWtYdfm/qqRu7rRvfi1JPcS6NScdpRjeI98sNayZuxWlvb0DgN4XlR+sjHXvAcDZppUQKTem+jp0EowceEZtKRVF+JicGti07tyCY9SuljeyD7z8hCKa5hvJcdkkodhJJUt9AwD+3Ix3tRDoless2Jsqd1wBoHfZ0UuQqLJqtlolWw0ADjwo37O1X/BalZVMT/3yM+k/t4HOPQn2/vn7ALzw/25h0cP9HF5r4eJbfquywrlhsNjw1Qp0A9Xnv6sWka4jALSdftWcz61dKQ9WRvcpv0AZ7uuW+1iavze/hjI4WxcDMKIVuzqB5MAIcSPULz2z4BiLzpC/L8YPza1OSbWQGQ+TFeBqKm6A72iUB8ChgS4lZFUM0QF5NdS9qLKrdxvdsgtSoG+3ykqURatkqwFA6KXdRE2w4pLCqsaWi3Nv/hERC3R/9wcMH9hG6hu/Y9QLF/7g7nmRd38y0XozrtHq272vFplBP2NO2RVnrrRuvBSAcLfyX7LxIbkMeuPKsxWPrTEz3s61gFbs6hR8EQIuikrJrGlfR8AB6b5hBYXNH7KRGFEz6I2FF7oCcLfJA+DoUL8SsiqG+Kh83atbkr9lsRqYvXUAjPdXl+GFVslWAwBHd5jhdkPFF+Fxt65k9OJFLD6cZs+73oU1AY233oijobKsPfNF31ZDzTiEho6oLaUqMI/ECdUWdqPnaVtNyArpQZ/CqiA7Ns64DcyuOsVja8xM4+pXAxAbqK7BU7FY/CliHkPRcYI1OowjVbhDMQ9ENEm8MJfRE6hZLK/sJXyjxQerINL+IBEzeBsqewbfVtcEQHhY+f1XaqJVstVg5OCzNPqAlfNjA+B5n/kZATs0+mD0n9az6jXvVVtSwUw46XRrTjpFk81k8I5JpOsKt2QLegWG0ZiCqmT0wTgRh1bkSg1cTSuImSDlC6gtpaJwByUyNcVP6KQarHh92arboJgPumiahKX4z7WncTlxI2QCVVb4MBgjbAe9vvgbyVLiaJT3X8VGh1RWoixaJVsN9j/wUwBazr1EZSX5Ya9twXTDGzn2+k4u+syv1JZTFM2ak45ijHW/jD0BxtbCPakTtWacfuWLj5nHM8Rd8y+FrBrQ6fWMO0E3VoVG4wUS6j+ILQGGxrnbyZ6MobUBexz8R6rLASYfDPEMKWs+w6iZETodYRtI48pPLqiJPpQkZq/8iQ13i7yHIuFXfvVWTaZ9ZwohfpH78b1aJdvqJrD9JRJGWP2a96ktJW+2/PPnuPzL98/LvPvJtG/JOel0aU46xdL7gux+4166quAY+gYPnnGIjY8oJQsAR0gi61FgLV+jIGIuPaZxrdjVBMc98HPOUcXgWS7bbPbkLGoXEuaYRNaqzHdQ3CbQh6vrPWqOZEk6Knv2HsDTuposkB6vrhWUmW49twghWoB3CyG8QoiayY9yCdQoPbYj4wy26jE5iiu3rTF3jBa77KQzWF0XFjUYOyB7LjdvOKfgGJb2dnRA3/aHFVIFseAwzhjoa1yKxdSYGxm3GYdW7Oo4voPyZ6U2twG5GJo3XiDH3Pty0bHmG+YESDaTIrGSdj2miPKrh2piD0tkncq8PqXE5qgjYoHseHWt8s00wP9v4BFgFScWuHoB0PzGqoRAzx4ahyWyyxvUlrJgidabcI1oTjrFEjvWR1oHLae9puAYtSvkzW4je5XzTB/evxUAc4P2GVMLXa0TZwSSkeqqFFoo4d5uAJrWX1h0rNYNl5EwQPxYb9Gx5hPZTAZ7TC6SpAQZhxFrpHpuQjORMNYk6Dx2taXkRcwKRBJqy1CUmQb490mStBr4qSRJnZIkLZn00Gwyq4S99/8QHdB41vlqS1mw6NpqqRmH8FC32lLmNWJonDEPGK2OgmO0brwYgPGuQ0rJwnd4BwCO1uLTITQKw9zYgA4Y3q/5QwCkBn1EzFC7aH3RsYwmK74agW5oYa1CRn296CXQO5QZwAqXFXsMsunqmOwJ5KrYGmuK3+dRDuJWgS5SXSlSMw3w78r9W9n+RhpFMfb886T0sPqq96stZcHiXiZ/xLq33aOykvmNzZciUle4pzeAt+M0omZIDShnVxfqlS1Qa5asUyymxtxwtC0GYPTAi+oKqRB0vihBt0Doit8gChCtM+JYYPU8xvvlKq1Gt1OReHqPC0MWIkPVUezK37ULAGt9k8pK8iNl1WGMVVeK1Eyfbp0Q4iZghRDixpMf5RKoUVrMh/0MNuuweefHh7Aaad50EQDDOzUnnUJJJ2J4/RJSQ3Fftjq9noBXoB+JKKQMYoNy+fOGlWcpFlNjbtTmbq6CPQdVVlIZWANp4gp44E8gmr14g5AIVpeP+0yMD3cDYHYrsyXRXFsLwFhXdexlGO+TV0GdzfNj5TJjM2COVU+KFMw8wL8eyAAGwDnFQ2OeEx7upmlQIrWsVm0pC5r2LVfJTjrdmpNOofTveARTBiztrUXHiteYcCholZn2BYiZwNVcXDl7jcJpWC1vvJ642VrIZDMZPEGJbG3h9SJOxr6kAx3Q8/z9isWsdKIj8p4Da60ye2tsDc0ABPuq4yY0MtQHgGfRapWV5IndhLW6XEqZ9hZekqT9wB1CiB2SJC08/6sFwJ77/xunBPVnvlptKQsao9Uh57AOLKwcViUZ3PEETsC7ovicYhpcePeOkIwGMdncRYcTgRihwrcFaCiAq2kpB82QGdWKXQWO7sScAmOjchM7DWvOAJ5laOffWXbJOxSLW8nEfMNYAVtd8ZMKAK5meWtjeLA6JnoSo7KnfF3nJpWV5IfOacOSCpGJxdBbiy8AVwnM5IP/ttyPa7QUnepk9NmtZASsfp2Wf6820QbNSacYAof2AdC2+bKiY1nbWtBLMLDzb0XHAjAFU8S0IleqM+4E4a+yKboCGNj1OACORUsUi7nozKvJAuHDhxWLWenEg/IA1tmgTAqKt12e6Y6PVEc11UxgnJAV3J52taXkhT63lyLUt19lJcoxU4rOxNZwB1qKTlViODjKYJPA2aDchV6jMPStOSedXF6nxtxI9g0RNUHdsjOKjuVdJudrD+3aWnQskL2g0+7K94KuduIuPeagdhM9dmgnALXLT1MsprOugzE3ZPqrqxLoTKSD8oqru0UZH5KaxRvIAkl/lawyBWOE7Ci2kbvUmD2y209gIQzwJUn6Ye7fz071KJ9EjVIQCwzRNJAlsXR+WFhVO84JJ52tf1BZSeF0PX0Xz21czYv/919l79swHMFfIxSpbNyyQS7cEzxS/IU+nYjhCoPwajk6apPxWHCEqmsTXSFEe3sAaFl/kaJxQ7V6LKPV5SM+E5lQhLQO7HXKzOBb7DVErJANKrfBX00M4RRx+/wY3ANYauoBCA8fVVmJckybgy+E+PZMJ0qS9BHl5WiUi70P/BBrBrynn662FA2gedMFJHmMkV3PwjVqqymM3d/5IkvjcPhPf2LzW8s7B+Acy+BfpEzBmfqVZzNghET/cNGxRg89h14Cc722kV1tdLUuXNEIiZAPs3Ph/n+kh/1y6kSTspu+0w12al4YJ5tOozMo59BTqUiROFELiv6tETvoQnHF4qmJJZwl1D5/Vi4dDW0ARIf7VVaiHDPdXk1UrbUAm4GDucdGYP78r2lMyeDWx8kCq1/7PrWlaACLTn8dKT1Eu+bn7EH/jkfo2BElK6DuQJRMKlm2vqP+QTzjoGtSZjVKp9cz5hHoRsJFxxo59AIAtpb5kYdazVgaGwEY3POUykrURe+LEfQIxeOa25sxp2B47wJ5faNJEmZlQ8ZtOvSR+Z9GJkkSjghIToVfoBLibJI3OcfGRlRWohwzpejcKUnSncAG4EJJkr4jSdJ3gEuQB/ka8xjdwSGGGgTe9rVqS9FAdtIZncdOOi9+82aEBMcua8Edgb0PfL9sffe+8Gd0gGPxYsVixmsM2MeK/6IdP3YAAG/HqqJjaRSHs30xAL5DL6krRGVsgTQJT3EF4aaiZoW8d6Xvxb8qHrsS0UfTJKzK3iilHQYskayiMdUgHfBhSoPOM3+2a3pa5TTZVMCvshLlyCdBygu4Jv3uyD2nMU9JRoM09WaIdrpmb6xRNmL189NJZ6z7ZVqfC9C9zsKrbvw6WQHHHirfXoLh3dsAqFu9RbGYUr0Tb1DOoS+GSL/sBV23XEuFUxtv5wYAxnsXjtPLyWTTaTzjQK3ye0Jat8gOVv4DOxWPXYkY4lnSFmXdsSSHGXsVpOCPHZFvok2182eo6K5fSsIA6fHiV24rhXwG+F8Ctgshfi6EuBN4EfhCaWVplJJ9D/4Ycxo8m5RzUdAoHtGWc9IZmV9pOs985QYsKVj5gRuoWXwafa06zLuLz1/Pl1DXEQAWnXGVYjHNrc0YMzC054mi4qRGx0jpoWaxtuipNk2rzwUWdrGrkQPbMGbA2FyveOymlecSMUOyZ1Dx2JWIOS6RsSo7wNd57FiTkArPz5XcCfxHdwGvFO+aD+gNJiIWkMLVY6U76wBfkqSfAa8C7gHuBl6dS93RmKf0P/UwACuveo/KSjQm41q6HICj88hJJzzcTd3Tg3QtN7L8YrnATXZDKy1DEv07HimLhszAGAEHOBS0e/Usk1NqBnY9WVQcyR9h3AF6o7ZtSW0cde2ELZAZDaotRTWGdj8NgGtRp+KxdXo9/hqBfqgKpqDzwBoHbMp+ro1eDwD+7h2Kxi03of5uAJwtyr/PSkncCrpI+faPlZq8PIwkSRqUJOne3GNh3J5XMdL+foZqoX75mWpL0ZhE02bZnnF41zMqK8mfp7/2IRxxaH3n244/t+xq+ec9d32vLBrMo3HGa5S1Y2teJ8/2Bg7vKyqOMZgk6pw/VnHVTsgp0AWqw6WkEPxH9gJQv2JzSeLH6824fJmSxK4kMukU1jgIh7IVT611DQD4e3YrGrfcxIZkJ5qajjUqK5kbSasOfbR63r/aN88CI52I0dCTJrxY8+WuNDpOv3peOekkQ36cjxzhWLuO097wiePPd57/VkY9kHrxYFl0eMaypOptisZsWncRST0keotL57CGsqRcym9o1CiMuFuPZQEXu4r19QLQvOHiksTXt9TiCUN4qLsk8SuF8FAXOkDvtM/adi7YG2W3rVD/EUXjlpuEz0dGQO08S01M2XSYovN/k/ME2gB/gXHwbz/DlgTHaZp7TqVhtDrwzSMnnae++X68YfBcd2Luu06vJ7jKTUt3moivtJ7CY90v44iBsVXZnGK90YzfA6IIq8xsJoM7DHiVvfnQKJysx4JzARe7ygwHCDjA7m0pSXznUtlbv+e5P5UkfqUQHJAnL0wut6JxPW2yk0t0aH7vE8kGwoRs4HA0qC1lTkh2E5Z49VwfZh3gCyG+JoTQRoNVQs/jDwCw4oq3zdJSQw2i9Sac88BJJ52IYXhgB/2NgjPe9aVTjjdedDGmNLz8my+WVEfvi/J+ElfncsVjR70GLGOpgs8P9u7BlAZD3fxxkqh29LUuHDGIjs3vAVShGPxxQm7lPfAnaFx/NgAju58rWR+VwMQKhdlbo2hcb4dsNZoYG1U0brkRoThhOwhRuvdaSbCbscVkH/9qIJ8Z/L3Aj4QQzwgh3i+EUPaWVaOspPceY9QDLRsuVVuKxhSI1hpqgxAePaa2lBnZ9oMbqPeD8Zqz0elPdZI47Q2fIGaCsae2llSHb992ABrXnaN47Gy9g5qARDZTWE7m0AF5L4W1qTSzpRpzx9LYBMDQvqdVVqIO9kCGpKd0G74Xnf460jqIdHWXrI9KIDIqr0xaaxoVjetuWiFbNQbmxyrudBhDaeKO+Zcgonfa0UuQGK2Orab5uOj8RJKkc4C3A4uBHUKIXwohLiq1OA1lyWYy1B9LEezQUgYqFecyeYm2kp10spkMiT88yYgHzv7Qd6ZsY3J4GOg0Ubs/UtKqttFjPaR10Lb5csVjm1saMKdgZH9hNymBbnlDo7td+dUFjcJwtsuuHmOH57dLSSGk41HZA7++dMWHLI4afB5gMFCyPiqBmF+udmqvb1U0rl5vIGwDxue3VaMlkiXtmH97j0weef462LtHZSXKkNctlhBCD6zKPUaBl4EbhRC/LqE2DYU5/Pj/4YiBbb024KhUmjedD8Dwzsp10nnhFzfTMiiRumIdBvP0LhK2M9fjicC+B/+7dGIGg/jdYLIpv7DoXrISgP4djxd0fqRPXoWpW6rVm6gUapfKm/7GexZesauhvU+il8DS3FTSfiJ1Bmwjhae2zQeSgTEAXI3KWfNOELULdKH5a9UoSRKOCOCyqC1lzpi9dQAE+w+prEQZ8snB/wawH7gK+IIkSVskSbpDkqSrgU2lFqihHN2P3gPA0tdcr7ISjelYdMbrKt5Jx/er+wg44NyPzjxw33D9jWSBow/eXTItNl+KcK2hJLEb150FgP/QroLOTwyPkAXqV56loCqNYmhcJeeIx4eqYwl+LgztkSs+uzqWlbSfbKOLGr9Epsgq0JVMOiin0LhaVioeO2XXYYrMX6vGxHAvhizoPaVbKSoV1jo55Soy3KOyEmXIZwZ/B3CaJEn/KknSsycd04zU5xHJ3V34HdC+5Wq1pWhMg8nqYrRGoBuozGI8O//wDTqOZgheuBizs3bGtrWdm+WqtrtKU9U2k0pS45fINpTmi6TltMtI6yDW21fQ+Vl/iJC9NKsLGoVhq2kmZIXM6PzOcS6EYLdc06F+1Rkl7cfa0YYhC/0vP1zSftQkE46S1IPNq3yl1qBDtUsAACAASURBVIzDhCU6fzd5jh2R90WZ62b+fqhEnI0dAMR8QyorUYZ8BvgvAyuFEJsnPZYKIQySJBU1ChFCXCGE2C+EOCSE+NQUx81CiN/kjj8jhFg86dinc8/vF0JcPltMIcSSXIxDuZimQvuYj2QzGWqPJhjrME+5KVKjcohVsJNOz09/RsQC53w8vyJWmVxV24FdjymuZXD3Y5jSYG4vTTl0o9WJ3wUMFzYY1AcShJ3zzEViARByCfQLsNhVvG+QrICWdaXdPle7Sk6D6t/+WEn7URMpEidmAaErwUZSpwVHFKTs/PRjDxyTbyRtjcruTygHrmZ5dSvh96msRBnyeXd+H9gG/Aj4MbAV+B2wXwjxmkI7zuX1fw+4ElgDvFkIcXLZs/cAfkmSlgHfAO7InbsGuB5YC1wBfF8IoZ8l5h3AN3Kx/LnYc+6j0L9XbY49ey/uCFjWzq/S0QuR4046vspaJjz0+P+x5ECK4bMbcTbm9z5advVbAdj9u6k34xZD/8uPAVC7Yp3isSeIePVYxgrLh7WEsiRdpUkf0iichMuAZXz+pkAUSnYkSMAJZkdpbVvbT5frYgQPFVcFupIR0RTxEqWYGzwuDFkID3aVpoMSE+qXdbtal6qsZO542laTBVLB6ljhy+fbpx94jyRJu+H4wPc24BPA3cBfCuz7TOCQJElHcnF/DVwDTN6+fA1wa+7nu4DvCtlY9Rrg15IkJYAuIcQhXkkXOiWmEGIvcDHwllybO3Nxf1BAH6X1/SuAYDRFIHbiIORkG9c9f/4VSwDHq15H12jkpLanLgeWY4Fw8tzmZL/ck+c8J1vpilOOzo6U518z8TJIx3+XJv38SrSp277S11QWuhN/w4T+V34/8TgIdO1LgAG2P/xbWi/519zx6V+fk/uY8tgMr1u+VsV7v/dV2g3Q8d7b6RmL5nWOaf21DLq/RPL5AzOeM53t8OT/u8ltJGBo7y4cAEvO5kiuINXkMCfGnOk9MOm1Pem1SNbZaNgR4tBgEL3BMM1ZU/fiDEmML7ZwZCQ8ja6p/7ZT1J3Q0dRa8/kszTdL6lKRdptxHktx1BeZvXGFMNfr3lSfG6M/QcitO379n3zdn/5zM0lDnu83yb6UcRskeoaPv8aT9U9cI0++zsr9SidcW+V2ufazXGMnNArEK9fXSb+feK09+TlZ4cmfkZOvORPoYxmSFpHHdefko9MzcV7G6QGOsmfHM9ToTy0UNV1f014rp2iTr837TO2m+14d6+vDBfhtS3i5J3CKZjnuic+cevzU3uaqcaY/UX4/yX9BNvdmzEryzxYLxP0hHt03jIRENsvxdiefN/E+liSJOoeZc5bVzdBr+clngL9iYnAPIEnSHiHEKkmSjhRZxKAVmDxF2Qu8aro2kiSlhRBBoDb3/LaTzp1YD5oqZi0QkCQpPUX7QvqoKO7c2s3XHz4wY5s79u5n3AbXP1EHTz5WFl0ahXFmooHPAk/+9WF+9NIqteUAsCb5MnfsirN9jZVbfhMAHs373NsWWTltb4zXfvH3jOuVKwxz26FeWkxw7b0JEIU53czGf+gsrEiEeNdX/5ceQ/6rX+6Mj18noE8Y+fevlUabRmF8QphYnoBrvvR7Avr5lydcKL8MZDnWZuSirz5W8r6+7xUYh6Nc8JXS96UGP4llCNt0XFyCz/Ybw7AM+MV9j/Knx+bf/p1bjw3Rqod/+VOINPOv3sTPrZAKxnjXz+dWrO3spbXzcoC/RwjxA2DCEvO63HNmoLq9sPJECPE+4H0AixYtKnv/l61ppM17ql3h5Puv+venGGoz8o3rN085G6Tm7N50sxCnHDvpllxi+tnsk8n375tupl3+OffcLG1PngmaabZ/quOZ+FLSD/2Blekg37p+44yvz8l9zPnY9IdOQHz9VgDMb/4YX+nYMGO8k1/q7KPnYNr5V272PoHu8v+avo/pnhdT/2y6KcmYV/DN67dM+/8728rHibNhp74ayT+vgmdG+PfOEQyvvnbSeSfOlp28ypTeez/cB/WLWvnWmzZOq2u2GfbpZhCnq7SYz4xeJXLya1hK0ne3wnNjfOa0CPo1F+d9Xjk1ntxvXu2Y4f2UCOL+A+jr3Xzzuo1Ttznh3BMPzPX9Fu+y0H4gxtf/6bRT3sMT18eJ2fXJOk6eSZ88+z4x8z7RXuTaT2ibvAowoW3yKsCJz5342Zi8SvD/2bvv8LiuOv/j7zO9z2jUJcuWe0lc4jiFJKSTDgklwFISWEILLbC0hYXQO7+lLJAFloSwC0tZsslCQjokkG5SbMdFLnJRr9P73N8fd5wotrpm5s5I39fzzGPN6M45H8kj6cy953zPsd+T8a4gOx6EaL2V777x+J/to1/HS+6Pe9R4z4Pk1m1w37Oc35TjkivHL1Q49m/4xFdWxk9w7NXj8fKO/8zx877kfiyK4yNxRjzw47edM2Hm8Ro+/sr99L+HE76Op7hyffQ1aFJ6fyYFQ08oPFmN264/A5PSX3+mQgdj7499DSoFLlvlzeCezgD/WuB64IbC/b8BH0Uf3J83h767gLYx9xcVHhvvmCNKKQvgB4ameO54jw8BgcLC4Owxx8+mj5fQNO3H6GsU2LJlS9n/lK5t9rG22Tfh57uevptwCOLnL+GikxaVMZmYnRYeDIJzMMplm4y/aDS07+8cfjbKwfVO3vDaN039hGOk1nyeHb+4D9eOZ7jiU8V7/T08kiPcYueqk0r3PdobPpfMzx+mNtLJeTPoZ+uOIwAsW7Oakyvg/1C8aOuudcA22rOHOGXzwvh9ePDRJ4gDwaVtXFDCn5ej7lrSiOfZTs4NDhNsn/iEQLXamgCL18EVJfjZPmI+hQg/pyYd4rwN1bMLdnZkhN2vfzP5wSy3vcbNZ9cUd5ffcvmD04Q7muOkxaVdq1IOky6yLSwqvVPTtG9rmvbqwu1bmqbFNU3La5oWnUPfTwIrC9VtbOgLWu845pg70N9gALwOeEDT33rfAbyxUAFnKbASeGKiNgvPebDQBoU2b59lH1Wn457/AqDt7MsNTiKmK95gx1chlXQe/9aHsWZhzfX/NKvn2z3Bwq62UfK54ixuTEWGCIZANQWK0t5E2jZdRB5IHJrZgufIkQMA1CxdX4JUYi7qVuhnRSOHO40NUkYDu/TpBoGlxa/bPh7/Cn1q4ZEn7ypLf+WUTSVxpcHknniTv7moXbyRPJAeqZ7dgDN9/ey66kKyPSF+/joH7/x46fY+KbWcy4I9UeGXPKdp0gG+pmk5IK+UKvpEsMKZ9PcDdwM7gd9omrZDKfUFpdSrCof9B1BbWOD6EeCThefuAH6DviD3T8D7NE3LTdRmoa1PoO++uxd9jv1/zKaPYn8fyiH67PPE7LDy/GunPlhUBNUSpCYEsaHZ1WAvlkjffhoe6efgaisrznnzrNtxnXoCgSjsuqs4u9oe3nonJg1cS5YUpb2J2H11jPog3z+zP7aJPr2OcsPal5UilpiDprVnAZDsnx+1rqcj1KnvzNm4tjybrjVv1HfkHtr5dFn6K6dwr77ezex1l6R9p7eOmBPyobmcPy2fzOEj7Hr1RWSG49z6Rjef/MQ9NPvKP1W5WDS3Dec82aNtOlN0osA2pdS9wAtlBzRN++BcO9c07U7gzmMe++yYj5PA1RM898vAl6fTZuHx/YyzMdds+qg23s4Y/W0WLPbSnHEQxeddsQLTfT0cfPR/WXfF+wzL8cg338fiFLS9/e1zamf96z9C361v5eCffleUr6dv+6MEgfp1m+fc1lQiNWbsQ6kZPSc3NErMDp7atqkPFmVl99YSckN+AW12lertJWuCxjVnlaW/RRsv4nnLp2Z85asahLv1N0t2f+kWwMZcQGRmv3OMkN6/n93/cBXJZIbfvNXPZz/4J/yO0l5VLTWT14kjEyGXTGJ2lKgWaplMpw7+74HPAA8BW8fcRBXo3/0oDcNgWi3zgKtJ8yb9DFj/NuOqsqYiQ/gf7OTgEjPrr/rwnNqqW7GF7hYT9u3FOWsa2b8PgEUnX1KU9iaTrXPiH5nZJVvTaJJI9e3UvmDEvAtss6uBCCM+sDpKc9b5WFaHm6EaUL2RsvRXTtH+QwDYa0pXMSXpNmGNVnYNk+TOHey6+lXE0xn+5231fO6G+6p+cA9g8em/uKPdk1cmrAZTDvA1Tfs5+lSVxzRN+/nRW+mjiWLYfefPAGh9+SsMTiJmYvGpryRrgtiBTsMy/PXb78Efg9o3vWrqg6chu6GFll6N3h0Pzb2t7kFCbvC3lH5OsaUpiDcBo13T37jHFs6S9FZeVQWhS/ksOCPVuVPobNhG0sQD5X09xutseAYre5A6G/GhHgCctU0l6yPjsWCPVe7rM/HMVjredDURleOO61r53AfuwW3zGB2rKGw1+uLa0a7dBieZuykH+EqpVwLPoM9DRym1SSl17GJYUaFCTz9H0gqrL7rO6ChiBmwuP0NBMHUbM40gm0pg/dN2upsUJ7/li0Vpc/kVegWeYuxqaxtMEq4pwTbx4/C26/Xvu56+b9rP8UQ0cgF7qSKJOcrXOPGG58dCuunwhjQywTJPN2gOEAxBKjJc3n5LLDk8AICnvoQVmDw2XNPbS7DsYo8+zN5r38qwTePe9y7nc++5C4eluqeyjOUM6puLRXs7jQ1SBNP5C/k59LnrowCapj0DTH/HF2Eo94EIfa1mbK7q2zBjoYs1GHcG7JEffID6UbC/+uWYzMU587fivGsY9kFq69zPjPiH86Try7OmpG7NFgCGdk9vwWA6HsIbA1NQ5uhUKktdAFcawr37jI5ScvHhbnxxMDeUd/qEu30JJg0OP3Xckriqlg6NAOBrKt0wyOR340pBJlZZU5yiD97N/ne9i363xiPvX89n3n47VrPV6FhF5a7XpzPH+rsNTjJ30xngZzRNCx3zWOVeOxIvGDm4jaYBDW1VddajXehUS5DgKMSGyvuLJp/Lkf3fR+gPwunv/W7R2jWZzYys8dFyIEN8pHfW7Ywe2YkvDpaW8uxC2rr5IgBihw9O6/iBPY9jAuz19SVMJebC2aTXF+97vvp22pyp7uceAMDVWt51WPXr9DfG/dvm1/c4E9ar2/hbSzc90HJ0msihbSXrY6ZCd95G5/tv4EgNPPfh0/jEW/4bs2n+TUP0NrUDkBzuNzZIEUxngL9DKfUmwKyUWqmU+j7wSIlziSLY+ccfA9D0snONDSJmxbtiJSbg4GO3lbXfp275JM39GrlLN2CxFffSa8O552DPwnO/+fqs2zi89U8AeJetKFasSXlq2xh1Q653ZFrHD+57BgB3S/WWipvv/Iv1187Ige0GJym9wT36lafA0nVl7Xfxaa8EILx/b1n7LbV8NE7KCnZv6RbZOgsnB0YP7pjiyPIY/u2tHPnopzjQAAc+egE3vO5mTKo8UyTLLbBI38MhPVo9+xBMZDr/Qx8ATgBSwK+AMC/uaisq2MjWraTNsOaydxsdRcxC88aXA9C/7bGy9jvy33cy4oWzPvzvRW9749WfIGGDwYf+Ous2Bgu1tRvXn1GsWFOK1JiwDU6v6kroUAcAgfY1pYwk5qB2ZWGzq65OY4OUQeSgPg2p6YQzy9qvr34pwz7Idw2Vtd+SiyWJl3h5jbtBL68b7t5f2o6mYfCWH9Lz2a+yqxWGPnkV17/q31BKGR2rZPz1y0lbIBeurOlRszGdKjpxTdM+rWnaKZqmbSl8vIDqi1Uv+75ReltMOP0NRkcRs7D4tFfplXT2d5atz2f/5xssPpwncv4ybJ7iz9m1e2vpXWojOIddbROHDpFXsHjzZUVON7F0nQPvyPRmJiZ69SlVjavLs6mQmLnG1WeSB1K91X8ZfiqZ3n5SFqhfeVrZ+w4HzdgH5tdwQcUzJEu8/CewSL/CZPQ88N4ffp2Br32f59oV2X95K2+7+KuG5ikHi8VO1AFatPp3u5pOFZ1VSqkfK6XuUUo9cPRWjnBi9iJ9+2nu08itLN1lRFFaNpefwSConmOXwJRO1y3/SdQBZ/7TD0rWh+OUddREYffds7tCoPWOMuwHm6emyMkmZm6qIRCD6NDUG/dkB0dIW8C/qLxTIsT02dx+wm7Qhqv/LN2UBmOM+sFsKf9iyGyjm+CwNus385XInMiRcZR2ekrNkvUApAYHS9rPZLq+8S+MfO8WnlgJns+9lzec8ynDspRb0gkqljY6xpxN51X6W+Bp4F+Aj425iQq28w83YdKg/rTyXpYVxRWvt+EdKE8lnT333czSjgwDZzXhaWgvWT/r3/Bh8sCBO383q+c7B9NEg9PZhLt43IuXAHDk73dPffBInJCHolUfEqUR8ynMo5W/W+hcOUYzxAPl/Xk5yraoCUcaBnaXd5phKVmTGjlnaX+2A02rSVsgO1q+kztHaZrGwRtvIPyz/+Fv6xStX/wkrzztA2XPYaSU04Q5Xv1vSqczwM9qmvYjTdOe0DRt69FbyZOJORl84lGyJlh7xXuNjiLmoJyVdDr+/fskrXD6R79T0n7qV55Kd4vCtn3mlXTyuRzBEY1cY3l25DyqbrU+Z3tw19S/+qzhDAnv/FyANp+k/Fac4er/Iz4V36hGrtw18AtqVulXsbq2TuONcZVwJDXyztK+YTJbrERcQLi800Q0TePAx64j/uu7eXCjYu2Xv8iFm64ta4ZKkHWZsMWrv1jkdP4K/Z9S6nqlVLNSKnj0VvJkYk4s+4bpbVJ4atuMjiLmwLNyBSbg0OP/W9J+Dj/1R5ZsT9B1SoBg+8aS9gX6rratvRq9zz88o+f1Pf8Q9gzYFzWXKNn4WjfpO0FHOw9Meawrkifjt5U6kpgjrcaJL8K8mj5yrEh3B+4UWBqM+ZPduln/uRneXTnlHufKmQTcpd/ELuFWmKLlmyai5XLsfd+bSP3hEe7eojjtq9/hzLWvLVv/lSTvsuFIVv9GeNMZ4F+LPiXnEWBr4fZUKUOJuYmP9NLcnSe9XN6HVbujlXR6nyvtJe5nv/d5NAWbb/hSSfs5aunlbwRmvqtt1zP68p/AivLOb/e3ribihGzv5BVBctkMviiomvJeYRAzZ62twZGBcHf1b0k/ka5tDwLgXmRMydamdWeTsEHqcI8h/RdbOh7GkQGTu/Sb7KVdJqyx8rz51DIZ9lz3WrIPPMMfzjDxiq/+hJOXXVSWviuR8thxJfQrGtVsOlV0lo5zk51sK9iuP/4ISx5qt5xidBQxR0tOuZKsCeL7pz5zPFsDe56g7e8RDm500bLhgpL1M9aq89+u72r71K4ZPW90j14XunXTeaWINalQjcIyOPkl8+HOZ7DmwFonb64rnbOlsNnVPJoffqzhjmcBCK440ZD+zWYLQ7UKS1/UkP6LLdS9BwCrr/S7VOc8Nlyx0g8w8+k0O996BflHd3PbuWau+sp/cULbwl67Z/a6MWuQGuwzOsqcTDjAV0p9fMzHVx/zua+UMpSYm97HHiIPrL3iPUZHEXNk8/gZqiltJZ0n/t9HsWRh7fXlWzuv72rrnfGutsmuHlJWaFx3dgnTjS9Va8c7MvkZtcGOJwFwt5R311Axc/7Fq4D5vdlVtLD7cvP6cwzLkKyz4x2aH9Ogwj36ngLWQPFLCB/H58AdL/1Z5OffehnqmUP87iILb/ny71jZtKmk/VUDa8AHQKjreYOTzM1kZ/DfOObjfz7mc5eUIIsoElPHAL2NqqRbaYvyiTWUrpJOuGcvTY8O0LnGxvKXv3HqJxRR/dmFXW1/+41pP8fcF2W4RmG2ln+Ou6kxQCAMifDAhMeMdOrTPXxtq8oVS8xS/arNAESPHDQ4SelkegeJ26Cmbb1hGUwtQWoiEBuYusRspTv6NTgCpS8/bQl4seQh1tdZsj5iz/8d87Nd3HOWhXd+8Q8srpXN+QAcNfr/b7h7n8FJ5mayAb6a4OPx7osKkY6O0tSVI7HUZ3QUUSSqpYbgKMSHiz+P9ZFvvg9XCtqvu67obU9lw9UfI2md2a627qEsidry1/MGcLW1YQK6nr53wmPi3foAoH7l5jKlErNVv/Jl5BWk+42rNV5qpqE4Ib8ytGSrZ9lyAA4/+QfDMhRLfEj/HeyuLf0if1tQn+Y30vlcyfrYeevXATj5jf9Ik39JyfqpNs66JgCifYcMTjI3kw3wtQk+Hu++qBA7/3QT9izUnHyS0VFEkXiW65V0Dj5+W1HbTYT6CfzlEAfbzZxwRfnrHDv9DfQssxLcHZlWJZN0dJRgCGj0lz7cOIIrNwAwsPPxCY9JDQySU1C34tRyxRKzZHV6CHkgP483u3KMZknUGFMD/6jG9fqOzgPbJ/65qRbJYf3NoLu+9NXpXA36NL/Q4T0l6yP1yA46WuG0c99Xsj6qkbdBX5SeGJ6nc/CBjUqpsFIqAmwofHz0vnHX+8Skuv+mVxlZfVn5z8iK0mg+SZ9v3lekSjqZeIS/ff96Hrr6PPwxqH/La4rS7mw4tqyjJgK77/nJlMcefvpPmDVwLzGmIkjrpvMBCB/YO+Ex2kiUsAcs9tJX2RBzF/WasIxW/46V48nncgRCGlrQZWiOJSdfQU5BtLPT0BzFkA6NAuBrWV7yvrzN+hn1aE9pppBFdzxFsD9HaH0Qq0XK+o7lLfz/poYnr5pW6SYc4GuaZtY0zadpmlfTNEvh46P3jblGLqa2u4e+WqhbfrLRSUSRLDnlVWRNEJtjJZ3uZ+7lzuvPZevLTyX4gwfxjuQ5eEU7J/3DjUVKOnMnvuGGwq62v53y2P7tjwBQu8aYq1M1SzYSt0OmZ+I5+JZQmphHZjBWi4zfgmuebnY1emgbjgxYm2oNzeH0NzAUAK1n1NAcxZCN6Fd7fM0rS95XYPFaABKDM98QcDp23qqvfVr2yjeUpP1qVtOyljyQDZV/J+FiMvbanSiqTCJK45Es3Rs8RkcRRWTzBPRKOt0z/2WTTSV46pZPM/J/97F4X4YlGhxcbiF3+Tmc+vavYXUa+1ppWHU6zzYrbNunXl8Q2tdBAFh0sjH1mU1mM6M1CvNAfMJjnOEc0QY5G1YttBo3/o40+VzO0HnqpdCz/SFMgLut3egoROssuAar/0pJPpogYQObq/TTBINLNhAF0sMjJWk//ejzdLTCpedItb1juTz1xByQi0z8u74ayH7q88ie+2/GmQbfJplBNd/E6mdWSadv51+564MX8MRZm/H/613U9GToPKce739+k8v+uI0zr/83wwf3R2U3NNPao9G382+TH9c9QNgFNYuNe30ngzY8k5TK9EZBC8j0nGphra/BloXRw/OvVOZwh757bO2K0u9MPZV8o5fgsEYunTI6ytzEUsQd5enK7W0g4oR8KFb0tiPbn9Cn52yslek541AmE3EnEE0aHWVOZIA/jxx56C4AVl5yjcFJRLGp1kIlnUlqxucyaZ68+ZPceeVGBl7zTtrv6SZUa2bgPWex+S+PcflND7F4yxVlTD09Sy/TLxFv/+33Jj3ONpAgFDT4V1aDj5oQpOPHX00J9+zFmQZLbRlqZIuicDXrCxn7ds2/za7iR/QKIC0byr8p3LGci1ux5aDn2fuMjjInpkSWtKN8U/BiLlCR4g8yd976TQCWv/L1RW97vkg5FeZYacpTl4sM8OeR3K4jDAag+cRzjY4iiuyFSjqPHV9JZ2Dvk9z94Yt55OUb8Xz9duoOpek8K4j9Z1/k0j9t5+wbfoLNY0zlmelYdeE7GPZC6qmdkx7nG86TrivT6bMJOBe1YtagZ9sDx32uf49eJcTR1FTuWGKWAoXNrkYPVPeGNuPJ9o8QcYK/DPPFpxJcrV9F6H7mQYOTzI0lkSNTxgF+0m3CHC3+IDPz6E72LIJTzpbpORPJOE1YEtW9PkcG+PNELpOm/lCGULuxFRNEaTRt1LcOP1pJJ5/L8ff/+hx3vmYTva+6hsV3HSLuNdH3jtPY8JeHuOInf2PZGa8zMvK0jd3VNhHqH/eYcM9e/DEwNxu7YLBmxQkA9G1/9LjPDe/Xp3n4FpW+woYojvrVpwAQ7a7uetfjMQ8lCPsrY8F32ymXAjDaMfmb+EpnS2jknOVbq5F1W7DH8kVtM/LcYwQHckQ21mE1y/ScieRcFuyJ6q4ILwP8eWLfX/4TTxLcG2T32vmo/bRX65V0tu3kno9fzl/POhHnF39Nw/4Unaf5sdz0aS6+dwfnfuwWHL56o+POWN05Z2PPwLO/GX9X28Nb9eln3qXGDp5bNpwLQGj/7uM+F+3qBKB2+YYyJhJzUbfiVLKm+bnZlTOUJRWojIJ3de0nEXFC9sj4b+CrhSOpkXeVb1CseW24i7zOc+cvvkUeWP6q8u5cXm00tw1nwugUcyMD/Hni4IO3A7D8Ff9gcBJRCkcr6Sx7KkLbHftJuhTd15zE2gce4JU3P8bKc99idMQ52Xj1xwu72j407ucHd24FoPGE08oZ6zj1q19Gygqp7uMHKql+/bGG1S8rdywxSxa7k5AHtOHiL2Q0Uj6bJRACrc5tdBRAX7Q4UmvC0l/dVUmcKcBdvgG+8rlxpSCbKN7rM/vYTvYugi1nvbNobc5HJo8TRwZyyepdaCsD/HkivfMgw15YtPkyo6OIEslffhJ7T/fDd2/govuf54JP/RJ3sPRbppeD099Az1IrNbvG39U21nmQPLBoi7Gvb5PZzHBAYRqIHve53FCYiFP/WkT1iPtMWEervLrLMQY6HseWA1tT5bwW0/UOAsPFnW5STolQP7YsmD3lmwZrrdEX7Ic6txWlvfCzj1IzkJfpOdNg8etV5qI9HQYnmT0Z4M8D+VyO2oMpRpY45l0tZ/Gi8z/1S155y2OsvfjdRkcpCfspawlGYM99/3Hc5/K9I4z4K2PwnAxacA9nj3vcFEoS9VbGnGcxfRmfFVekegee4+nd8VcAfIuXGpzkRZbWerxxGDlYnMFquYW69gBg9XrL1qezTp9uOXxoR1Ha23nrN/XpOVe+QavNMQAAIABJREFUqSjtzWc2fw0Ao0d2GZxk9mSAPw90Pvo/+GPgOEEW94nqtf7qDwFw4I+/Pu5zzqE0kWBlvHnVCqUys6mXTtB0hHOkfJWRUUyfFnTjizDulaNqNbpfX8xat6pydjSv3aBn6bjn5wYnmZ1In76TuC1QU7Y+3Y2L9L679xWlvdzju9nbBqeceV1R2pvPnLX6yaRo70GDk8yeDPDngQP3/w6ApRdWR9UUIcbTsOYMupoV1m0v3dU2n8tRM6yRa6iM+cT21iasOeh7/qXrBdxRjZzf2DKeYuZs9UFsORg+8LTRUYom0XUEgKYN5xuc5EXrLn8vWRMMPvm40VFmJTagf08dwfIVMfC1rtD77uuec1uhp/9GzWCe6MZ6LObKWHxdydz1LQDEB7oMTjJ7MsCfB0xWC4faTCw942qjowgxJ+n1+q62/Xte3HhoYPejONNgW1QZ9eUDy9cA0LP94RceS0WG8MXBFPQZFUvMkrtFP0vav6s6B57jyfWPEnKDJ9hidJQXeGoX0d2ssO0dNjrKrMSH9E0G3bXl+57WtOsVuVJDc6/ytKtQPWfFlW+ec1sLgbdZn96WHBowOMnsyQB/HjjvU7/k4nt3yPx7UfWWXqa/Sd3+6++88NiRZ+4HXhxYG635xJcDMLr3xbmZfbseAcDRUH0lShe6QLv+uho5WN012seyDCcrpgb+WOnlQRp78ySG535GutxSI/og29O4uGx91jStJm2B7OjxO2fPVO7xPextg5PP+MciJJv//C16yfF0aMTgJLMnA3whRMVY/Yp3MuyF5JMv7iw6ukdflNe86RyjYr1E04nnkTZDquvFqURD+54DwNO6xKhYYpbqV50KQKz7sMFJisc9miNdU3lVUmpPOQVLHnb+4Sajo8xYOqQPsn3NK8rWp8VqI+ICLTy38qKhp/9KzVCe6KYGmZ4zTYGGFfqbq/DxFdOqhQzwhRAVw2Q2M7LaQ/OYXW2Th7tJm6Fl/YUGp9OZrTZGAqDGlMqMHNEXwQWXnmBULDFLtctOJmuCTP+Q0VGKIpuM448AdeWr9jJday9/D3kF/Y/91egoM5aLxsgD3qaVZe034VKYIuk5tbHz1m+RV7DyVdW9X0o5WawOog7QItW7d4MM8IUQFaXu7LNxZOC5330TANUfZbhGYbZWzhnJeNCCYzjz4v1e/Wx+/WpjN+ISM2e22gh5gXmy2VXfzoex5MHR3Gh0lOPUtKymu1Fh2ttndJQZ06IJEnaw2Mq7kD7lNmGLzb7Ck6ZpaE900NGm2HzG24oXbAFIOkHFMlMfWKFkgC+EqCgb3/AJUlYY+PNfAHAPZYjXVdZl5Xy9h+Co9kJpxezQKAkbeBvLd/leFE/MZ8IamttZ0krR97y+WNjXXpmvxcQyH41deVKRKltsG0uRcJa/25zHiiOmzfr5oacfJjCUJy7Vc2Ys5TRhiR+/50m1kAG+EKKiOP0NdC21EtwVIR0PERwFGiurOo29uQF7Rq/wA6BG4kQ8yEL3KpXx2+bNZlehTn3xd/3qUwxOMr7ASZuw5WDPXT8xOsqMmBJZ0o7yL1xWPieeuH4mfjZ2/uLb5BWsevW1RU42/2VdJqzx6v29IAN8IUTFcWxZQ00EnvjJJ7Dkwdm2yOhIL+FfpldY6H7uzwDYwhkSsslV1VJBN/4I5DLVfxY/2d1DXkHL+vOMjjKuNZfrmyx1P3K/wUlmxpLMk3GUf8hk9nuw5CExcGjGz9U0DR7fS0eb4qTTrilBuvkt77LiSM7+6onRZIAvhKg4J77ugwAk7tBrzdeu2WhknOM0nvgyAEb26lvIuyIaWV/lrBEQM2Orr8WSh8F9TxkdZc7yAyFGPWD3BI2OMq6GZVvoqQd290x5bCWxJfLknOV/E28P6v+Pw/ufnfFzQ1sfIjCcJ76pAbPZUuxo857yOHAlZn/1xGgywBdCVJzGdWfR1axY1KVfHl108sUGJ3qplg2vIGuCxJEusqkE/iiooMfoWGKW3K16bfOB3U8YnGTurMMpooHK/tMebffQcCRLNlk9FUocSdBc5X8T72zQN9YKHdk94+fu/M+j03PeVuRUC4PJ68asQWqo+haFgwzwhRAVKn2ivnNt1AG17ZsMTvNSVqeHER/QH2Zo31bMGtjqao2OJWYp0L4WgNGDu6Y4svJ5QnkyNXajY0zKu/EEHBnYe9/NRkeZlnw+jysJyl3+76u3Wd9bI9Izsyk6mqbBE/voWKw46VQpjzkbVr++9it0pDo3wZMBvhCiIi297HUAjAYVqMrblTMWNOMYTjPQoU/rcLdU1joBMX0Nhc2u4t1dBieZm3R0BH8ETPWVtSj9WKsu1eeDH37oToOTTE98pBtLHswed9n7DrTpbz6TgzM7izz6xAOF6TmNMj1nlhxB/aRNuHufwUlmRwb4QoiKtPqidzNQA6lFlTn1JVfnJjCiETqkXzoPLFltcCIxW8GlJ5G2QGawyko3HqNn+4OYAHtLs9FRJtV6wvn010BuZ3XsHhzu1n/GLb7ybx529Oplenhmr81dv/wOeQWrX/32UsRaEJy1havIfQcNTjI78rZOCFGRTGYzG373e+yeypz6Ym2uw/VEmL5duwgCdSu3GB1JzJLJbCbkoeo3u+rf9SQeILC08t9shtqdtDyfIJ/NYrJU9lAk3NsJgD1Q/oXLbl8DESfkRqNTH1xwdHrOnsWKK099cwnTzW/exjYAksP9BieZHTmDL4SoWIHWtTj9DUbHGJdvqb6RkHlPP1kT1C7dbHAiMRdxnwlrqHp3rQQId+4FoHHt6QYnmZpr/SrcKdj/0K+MjjKl2KA+dcsZNOZ3UcwFKpKc9vEjj99HYEQjuakJk0nK986Wr1n/HZ8aHjQ4yezIAF8IIWahft1pADR15wl7wGyVMpnVLOu34QlX76Y2AKmeXrImaFz7cqOjTGnZhW8A4OADvzc4ydSOzn931xkz9SnpMmGOTX9H1V2//C45BWteK9Nz5iLQuoY8kAmFjI4yKzLAF0KIWWg76WLygC0HMZ/8Kq12KujFF4VsKmF0lFnTBiKM+MDqKP9i0JlauuVKhnyQ3nHA6ChTSo3q8989Te2G9J91m7HHctM6VtM01JP72bNEsfEUmZ4zF25PIzEH5CLVU851LPmrJIQQs2D31jJaKFaS8VmNDSPmzN5Qi1mDgY7qrYVvH0kTD1THlAxlMjGy2E7wYIp8bnqDV6NkwvoZXH/TSkP6z3vtuKe5PGTksXsJjGikTmrGpGSINxfKZCLuBBWd/vSoSiL/+0IIMUuRoD6Y0gIug5OIuXphs6uOJw1OMnuesEamxmF0jGmznbAUXxyOPHGH0VEmlY3EyCnwNCwzpH+T34UrBbnE1GeSdxam56x9zTvKkGz+SzkVpnh1rs0xZICvlAoqpe5VSnUU/q2Z4LhrC8d0KKWuHfP4yUqpbUqpvUqp7ymlF8meqF2l+17h+OeUUpsLj29SSj2qlNpRePwNY/q4RSl1QCn1TOFWWTvtCCEMl611AmCtCxicRMxVzdJ1AIQ6Z75jaCWID/fgj4G5oXpei+3nvxqA/ff+2uAkk9NiCeIODKv2Y6nR/09Dh7ZPepymaZifPMCeJYoNW95YjmjzXtppwhKv7CtMEzHqDP4ngfs1TVsJ3F+4/xJKqSBwI3AacCpw45g3Aj8C3gmsLNwumaLdS8cc+67C8wHiwDWapp1QaOM7Sqmxvx0/pmnapsLtmbl/2UKI+cTSpJfwdDa1GJxEzFXjmjMAiPd2G5xkdrqfewAAV2urwUmmb8WZ/0DIDYltHUZHmZSKp0kaeGHEUVcHwPChHZMeN/TI3fhHNdIyPadoci4L9oRmdIxZMeoVcCXw88LHPweuGueYi4F7NU0b1jRtBLgXuEQp1Qz4NE17TNM0Dbh1zPMnavdK4FZN9xgQUEo1a5q2R9O0DgBN07qBfqC+qF+pEGLe8q/U640Hl59ocBIxV/5F60hZITNQnZtdDXb8HYCaZesMTjJ9ZouVgcU2/J1xvXZ7hTLFs6Qdxu2m7S7UY48cmXxH1d2/+p4+Pee17yxHrIXBbcVZpevujRrgN2qa1lP4uBdoHOeYVmDsNndHCo+1Fj4+9vHJ2p2orRcopU4FbMDYn6AvF6bu/KtSyj7RF6OUepdS6iml1FMDAwMTHSaEmGdOfcc3iX7q1ay74gNGRxFzZDKbCXtADVdnxYxIp/6nq3HdGQYnmRnLmjZqItBXuAJRiazJPBmHcWfE/a16PfZY/5EJj9E0DfNTnexpV2w4+Q0THidmRnmcODKQT1bfQtuSvWKVUvcppbaPc7ty7HGFs/BFf+s+k3YLVwV+Abxd07SjhZD/GVgDnAIEgU9M0tePNU3bomnalvp6uQAgxEJhtto45ZqvYDJXR+USMbm434ytSje7SvcOkLZA/arK3+RqrLZzLgWg465bDU4yMVtCI+cybrfdmiXrAUgODU14zNDf7sI/qpE5qZXCskRRBFafF4Boz16Dk8xcyQb4mqZdqGnaiePcbgf6CoPqo4Pr8fYB7gLaxtxfVHisq/DxsY8zSbsTtYVSygf8Efh0YfrO0fw9hSk9KeBm9HUAQggh5qms34Y7UrlTRSY1FGXEp097qSarz3s7UQdEnn3e6CgTcqYAl3Eb2dU0ryFthuzIxBsu7f7V98maYJ1MzykqW0Bf+jnaVX2L74265nQHcLQqzrXA7eMcczdwkVKqprC49iLg7sIUnLBS6vRC9Zxrxjx/onbvAK4pVNM5HQhpmtajlLIBt6HPz//d2M7HvFFQ6HP5J1++LoQQoqqpWi/+GGQSUaOjzJhjJEOiSmrgj2W1u+hrs+DtrMzveT6bxZUE5TZula3VaifqAi08/vQxfXrOQTqWKE7cfHWZ081vjqA+KyPSU/kbsh3LqAH+14BXKKU6gAsL91FKbVFK/RRA07Rh4IvAk4XbFwqPAVwP/BTYiz5n/q7J2gXuBPYXjv9J4fkArwfOBt42TjnM/1JKbQO2AXXAl4r7LRBCCFFJ7PV1mDTo3/2I0VFmZPjgNmpGNHJBp9FRZsW0qpm6ERja85TRUY4THezEpIHFY+xeF3G3whRJj/u5wb/+EX9II7NZpucUm7tBX64ZH+ia4sjKY8ikMk3ThoALxnn8KeC6Mfd/BvxsguOOK1sxSbsa8L5xHv9P4D8nyHj+pF+EEEKIecXT2g48z2DH32nddJHRcaYlPtzN0297I3V5aHtNdZ69bT7zAvjjLey+86ecsWqL0XFeItStl/C0+o3dXyDtNuGMZsf93O5f/Rt+E5zwuneXOdX852taShpIDldfARUplCqEEEIAwWX6eaPQocquy35UJh7hobdeTFNvntF3vZyNr/m40ZFmZd3F7yJhg9DfK2+7mWjfQQDsgaChObIeK8748etDNE3DsvUQe9oVJ2x6rQHJ5jd/q14KOT06anCSmZMBvhBCCAE0rH0ZAPGeyt/sKp/Nct/bzmXJvixHXr+Gcz74Y6MjzZrdXUNPqxnn/rDRUY4TK0zNcAQbjA3ideCOc9x+AYMP/x/+kEZ28yKZnlMCgYYVpC2QDUeMjjJjMsAXQgghAF/TShI2yA6OGB1lSndffz7tz8XZd2EjF3/+NqPjzFl+ZQONgxrhw7uMjvISyWG9GJ+7YdEUR5aWOeDFmoPkwEtr4e/+1Q/JmuDE173XoGTzm8XqIOoALVJ9u13JAF8IIYSgsNmVF0wjlf3H/N5PvIr2hwboOMXNZd+93+g4RdF4+lkA7PzDvxuc5KVSIb22h6+x3dActqA+RWi487kXHtM0DWthes66jVcZFW3eSzhBxcZf4FzJZIAvhBBCFCR9Zmzhyt3s6uFv/iOLbu9g3xorl/7kL/Nmk7UTLnsvaQsMP/Wk0VFeIlOYmuFrWWloDld9EwCjY65wDPzldnxhjezJbTI9p4TSThOW+PgLnCuZDPCFEEKIgmzAjidcmZtdPXXLpwnc/CgHF5s4/+a7sTrcRkcqGnegme4WE/Z9w1MfXEa5SIysCVw1xk7R8Ta3AxDtOfjCY3v+W5+es/5qmZ5TSlmXCWs8b3SMGZMBvhBCCFFgCnrxxiAdrayqGc//4d8wf/v39NfBaT/7La6aZqMjFV1meZDGPo14/2Gjo7xAiyWJOTH8SkmgbQ0AiYFeoDA95+9H2LNUsXb9lUZGm/fyLiuOZGW+6Z+MDPCFEEKIAntjAyagb0/lbHZ18NHfE/3MD4i5YN2PfkTNonVGRyqJ+lNOw6TBrj/eZHSUF6h4hpTd6BRQu2QjAOlhfQF4/59vwxfWyJ28WKbnlJrHjitxfAWjSicDfCGEEKLAu6gdgME9TxsbpKBv16McvuHTaAqavn0jzSeca3Skkll7+bvJmqD/8b8ZHeUF5kSWtMP4AbTb30TEAfmQviZgz69vKkzPud7gZPOf2evGrEG6yja7kgG+EEIIURBcWtjs6rDxm12Fe/ey413vwB0H12ffyYqz3mh0pJIKNK6kp0lh6aicgZQ1kSfjNH4hs1KKuAuIJNHyeWxb9ek5a058pdHR5j2r3w/A6JHnDU4yMzLAF0IIIQoa154JQNLgza6S4SEeveYq6gc1Uh+6jPVXfcTQPOWSXOansSdPanTI6CgA2JMaeZfF6BgAJNwKSzRL34O/xxfRyG9ZItNzysBeo5cojXTvNTjJzMgAXwghhCjwNi0nbofsYMiwDLl0igeuvYDFh3IMXrOZ06/7tmFZyq1m82Ysedh1V2XUw3ckAZfN6BgAZNwWbLEcHb+5iYwZ1l/9fqMjLQiuOr1EabSvchZ/T4cM8IUQQogxwl4wjRqz2VU+l+NP153D0p0pDr5yCed98r8MyWGUNZe/kzzQ+8gDRkchm0riToHJ7TQ6CgCa14Y7Bva/d9OxVLH6hMuMjrQgeBoWA5AY6jU4yczIAF8IIYQYI+kzYw8Zs7HNPR+5hGVPhNh3Zg2XfOMuQzIYqX7JJnoaQe0xfjAV6dWnZJh9HoOT6JTPjSsF3ohGfku7TM8pE1/LcgBSw4MGJ5kZGeALIYQQY+QCDjyR8pfEu/8Lb2DJ3UfYu97BpTf9GRboAC7W7qWxK0c2ETM0R7hvHwA2n8/QHEdZa/TFnmkzbHj9BwxOs3DUtKwmD2RCYaOjzIgM8IUQQogxTLU+fHFIhMtXzeWRH36Qpl89R+cyMxff/CBma2XM+zaC76T12LLQcfdPDc0R7dN3jbXX1Bqa4yhHXT0AHUtNrFp7icFpFg63t5mYA/IRY99wzpQM8IUQQogxHI2NAPTvLE899md+8zXcP7yXnibFy3/+B2yeQFn6rVSrL74WgCMP321ojtigXknJFWwyNMdRrkX6XHBOWSrTc8pImUzEnUA0aXSUGZEBvhBCCDGGt60dgKG9z5S8r44HbiX75Z8z6oNNP/0Fnvr2kvdZ6VrWnk1vLeR3HTE0R3JEv4LjaWgzNMdRay55L7e/o5Ez3/dNo6MsOCmnwhTPGB1jRmSAL4QQQowRXLYRgPDhfSXtp+vZ+xj4+FfJWGHZ979B3fKTS9pfNQm3u6g/nCGfThuWIT06CoC3sd2wDGP5PQ188mN/prlurdFRFpy004Qlnjc6xozIAF8IIYQY4+hmV4ne0lVyGT74HHvf+wHsGaj5yodpO1l2JB3LvWENzjTsf/AXhmXIhvVFlb6WVYZlEJUh5zJjT8gAXwghhKhanro2og7IDZVms6v4SC9b3/5GAiFQn3gDay56V0n6qWYrLvoHAA4+eIdhGXLROCkLOP2NhmUQFcJlw2nM1hizJgN8IYQQ4hgRr8I0Upq/6A/ccBWLujUi73o5m9/0uZL0Ue2WbLyMgQBkdnYalkGLpUg4WLDlSsWLlNeJIwP5ZPUstJUBvhBCCHGMlN+MI5wrertP3PLPLH88xL7T/Zz1oR8Xvf35QplMjCxxUHsoTT5rzKZjpniGlMOQrkWFsRQ2O4v27jc4yfTJAF8IIYQ4Ri7gwFvkza5GDj9P9t/+l75aOP//3VbUtucj5wnL8STg0CO/N6R/cyJH2iHDJAG2QA0AoSO7DU4yffLKFUIIIY5hrvXjSUBsuKdobf7thjfjjUPDJ6/HFWwuWrvz1dLzXwtA5/2/M6R/azJP1inDJAGOoL7JWETO4AshhBDV6+hmV307/1qU9h769jtYviPJkQuaWffKDxSlzflu2cuuZtgLye17DenfntTIO62G9C0qi7u+FYDYQJfBSaZPBvhCCCHEMXxtywAY3vfcnNvq2fEXXLc+wpEWxYXfuH3O7S0UZrOFocU2Ap0JNK2406Wmw5kE3Lay9ysqj6+pHYDk0ICxQWZABvhCCCHEMWpXnARA5MjcLsnnclme+ej7sORh5Zc+j9XpLUa8BcO6djH+GPRsvaes/aYTEZxpMHlcZe1XVCZ/62oA0qMjBieZPhngCyGEEMdoWP0yAJJz3Ozq/huvpv1AjsGr1tB+xtXFiLagLD7nCgD23fNfZe033KNPC7J4PWXtV1SmQOMK0hbIhiNGR5k2GeALIYQQx3AFm4k4ITcUnnUb+/76Gxr+dxedyyycf+Nvi5hu4Vh17rWEXRB99vmy9nt0gG/zB8rar6hMVquLqAOIVM9uVzLAF0IIIcYR8SnMo7Pb2CYdD3PgM58jY4HN3/oBJoulyOkWBqvVQV+bBV9nrKz9xvoPAeAI1Ja1X1G5Ek5QsbTRMaZNBvhCCCHEOFI+y6w3u7rv41fR2qORvPZMGtedXeRkC4t5TSvBEAzseKRsfcaG9PKozjopZyp0aafCHDdm07XZkAG+EEIIMY58wIE3PPPqLdtu/y6L7+9h/4kOXv7hn5Yg2cKy6KyLAOj4081l6zM5MgiAp6GtbH2KypZxmbHF80bHmDYZ4AshhBDjMNf5cacgOnBw2s+JDfcy8vWbCHngrO+Ud2HofLX2guuI2SH09NxLlk5XplAtxde4tGx9isqWd1mxJ8tfrnW2ZIAvhBBCjMPZpE/P6N01/akhD374KuqHwf7+V+NftK5U0RYUm8tH7yIz7v3lq2CSDUcB8LeuLVuforIptx1XAkP2ZJgNGeALIYQQ4/C1LQdgeO/0zhw/cfOnWP54iP2n+9ly7VdKGW3B0VY1Uj+sMXpge1n6y8XiJGxgc/vL0p+ofGafG7MG6eFBo6NMiwzwhRBCiHHUrtgEQPTIgSmPHTm0g9wPbqOvFs7/1/8tdbQFp/ll5wCw+48/Lk+H8TQJe3m6EtXB4vMBEDqy0+Ak0yMDfCGEEGIcTWvPAiDZ1z/lsY98+C144tD4z9fjrGkqdbQFZ93F7yFphZGtW8vSnymWIeVQZelLVAdHUC+ZenSPhEonA3whhBBiHHZvLSE35KfY7Oov3/pHlu1IcuTCZtZe8YEypVtYXP4GultNOPaNlKU/SyJHxikDfPEiV20jALG+QwYnmR4Z4AshhBATiHon3+yqe9ufcf/iUY60KC78+u1lTLbw5JbXUt+vEe3tLHlf1qRGzmEueT+iehwtmRof7DE4yfTIAF8IIYSYQNpnwTnBZle5bIbnPv5+LHlY+aXPY3V6y5xuYak/7QxMwO7/+1HJ+7InNfIua8n7EdXD17wCgNTIkMFJpkcG+EIIIcQE8jVOfBNUZ7z/xqtZciDH4FVraD/j6vIGW4BOuPQ9ZMww+MSjJe/LldTLIgpxVKB1NXkgMxoyOsq0yABfCCGEmIClLoAzffzCur0P/5qG23fTudzM+Tf+1qB0C4uvvp2uZoV1b2nPoKaiI9izYPK4StqPqC4eXwtxB+QjcaOjTIsM8IUQQogJuJpaAOjb+eJmV+l4mM7PfJ6MFTZ/84eYLBaj4i046eUBGnrzpEamrmw0W6Gu3QBYfDLlSrxImUzEHUBs4jU5lUQG+EIIIcQEfIv1ebfDB7a98Nh9H7+K1l6N1DVn0bjubKOiLUi1m7dg1mDXH28qWR/hnn0A2P2BkvUhqlPSqTDFMkbHmBYZ4AshhBATqFu5GYDo4U4Att3xXRbf38P+9Q7OuqFMmy6JF6y57J3kFPQ9+peS9REdOAyAvaa+ZH2I6pR2KSzx8RfdVxoZ4AshhBATaFh9Bnkg1T9AdLiH4a/dRNgDZ33nl6CkTnq51bWtp7tJYdrTV7I+EsN62+665pL1IapTzmXBnsgbHWNaZIAvhBBCTMDm9hNxQ344wp9veDUNw2D/wKvxt641OtqCFV/qpaE7RzpammomqZFBADz1i0vSvqhemsuGM2F0iumRAb4QQggxiahPUdcRZ/kTIfa/zM/J13zF6EgLWmDTBqw56Lj7pyVpPz06CoCveXlJ2hfVy+Rx4shAPln5C20NGeArpYJKqXuVUh2Ff2smOO7awjEdSqlrxzx+slJqm1Jqr1Lqe0rp10knalfpvlc4/jml1OYxbeWUUs8UbneMeXypUurxwnN+rZSyle47IoQQolKl/Fb8MeirhfP/9Taj4yx4qy97O3mg++F7S9J+NhIFwNe8qiTti+pl9rkBiPYeMDjJ1Iw6g/9J4H5N01YC9xfuv4RSKgjcCJwGnArcOOaNwI+AdwIrC7dLpmj30jHHvqvw/KMSmqZtKtxeNebxrwP/qmnaCmAEeMfcvmQhhBBVqd5D1gSNn7oeZ0DmZRutecUZ9NYDu7pK0n4+liBuB4tD6uCLl7LX6MPQcNcug5NMzagB/pXAzwsf/xy4apxjLgbu1TRtWNO0EeBe4BKlVDPg0zTtMU3TNODWMc+fqN0rgVs13WNAoNDOuApXBM4HfjdFRiGEEPPcWZ/7KY7v/RNrL/+A0VFEQWSpm/quLLlk8SdEq1iahKPozYp5wFGorBTpkTP4E2nUNK2n8HEv0DjOMa3A4TH3jxQeay18fOzjk7U7UVsADqXUU0qpx5RSRwfxtcCopmnZcY4XQgixgPhb17LywuuMjiHG8GxYhz0D++6/tehtmxK3F7ntAAAV30lEQVQZUg6pkCSO527QN76LDZbm6lExlWyAr5S6Tym1fZzblWOPK5yF14rd/wzaXaJp2hbgTcB3lFIzXlWjlHpX4U3CUwMDAzN9uhBCCCFmYNXFbyVrgsO33lz0ts2JPBmH1CARx/M2LgUgOVi6nZSLpWSvYE3TLtQ07cRxbrcDfUenyBT+He871QW0jbm/qPBYV+HjYx9nknYnagtN047+ux/4M3ASMIQ+jcdy7PETfK0/1jRti6ZpW+rrZWMMIYQQopQWr38FO87y0PJsiB23fLGobduSeXJOc1HbFPNDYNFq4MVKS5XMqLeodwBHq+JcC9w+zjF3AxcppWoKi2svAu4uTMEJK6VOL8yVv2bM8ydq9w7gmkI1ndOBkKZpPYW27QBKqTrgTOD5wtn/B4HXTZFRCCGEEAa45Cu/5kgDxL7/S+K9h4rWriMJmstatPbE/BGoX0HaAtlwxOgoUzJqgP814BVKqQ7gwsJ9lFJblFI/BdA0bRj4IvBk4faFwmMA1wM/BfYC+4C7JmsXuBPYXzj+J4XnA6wFnlJKPYs+oP+apmnPFz73CeAjSqm96HPy/6Oo3wEhhBBCzFqgbhmeD74eZwIe/eDVRWkzn8/jSoJyyypbcTyr3U3UAVokbnSUKVmmPqT4NE0bAi4Y5/GngOvG3P8Z8LMJjjtxBu1qwPvGefwRYP0EGfejl+cUQgghRAV62es+z2/u+xPr/xzmuZ9+lg3XfWFO7SVG+7DmwOyVEplifAmnXmmp0skqEiGEEEJUrUu/+jsON0Lqh78l2rV/Tm2Fu/cAYPF6ixFNzENpp8Icz059oMFkgC+EEEKIquWtaaPmw2/BkYTHPviGObUV7tPfINgCwWJEE/NQxmXGFs8bHWNKMsAXQgghRFU75apPs/vcGlp3RHn6pk/Mup1Yv77NjjMoFfHE+PIuC45k0au7F50M8IUQQghR9S796v9wqAmy/34HkUO7Z9VGYlivru2unXCze7HQuR04E6Av76xcMsAXQgghRNVz+5tp+Ng7sKfh8Q+9aVYDsNToIACexiXFjifmCbPXhVmDzPCg0VEmJQN8IYQQQswLJ13+UfaeX0vrzjhP/eAjM35+JhQGwN+yqtjRxDxh9fsACHXN7ipRucgAXwghhBDzxqVfuY2DLaB++idGD2yf0XOzkSh5BZ6GZSVKJ6qdvaYWgHB3h8FJJicDfCGEEELMG05vPS0ffy/WDDx5w1tnNFVHiyWJ28FstZUwoahmrrpGAGL9Bw1OMjkZ4AshhBBiXtlwyQc58IoGFu1O8vh3PzD9J8bSJGUTWzEJT0MbAPGBXoOTTE4G+EIIIYSYdy798m0cbFVYb76f4b3PTOs55kSWlFOVOJmoZr7m5QAkR4YMTjI5GeALIYQQYt6xu4Ms+ecPYc7BUx9+27Sm6lgSObIOGRqJiQVaVpMHsqGQ0VEmJa9iIYQQQsxLay98N4cubqatI8Wj33r3lMfbkxo5p6UMyUS18voXEXdALhwzOsqkZIAvhBBCiHnrki/fTuciheMXDzOw+8lJj3UkQXNZy5RMVCNlMhF3ArGk0VEmJQN8IYQQQsxbNoeX5Z/5OEqDpz9yHfl8ftzj8rkcriQot6yyFZNLOhSmWMboGJOSAb4QQggh5rVV57yNrksX0bYvzd++8Y5xj4kNHsKsgdnrLnM6UW3SLoUlnjM6xqRkgC+EEEKIee/iL9xGZ5vC/cvH6Hv+keM+H+7eA4DV5yt3NFFlck4L9sT4V4IqhQzwhRBCCDHvWR0eVn3uX1AaPPtP7zluqk64rxMAR2GnUiEmormtOBNGp5icDPCFEEIIsSAsP/NN9F7RTtuBDA99+ZqXfC4+2A2As6beiGiiiiiPE0cGtFTK6CgTkgG+EEIIIRaMi75wG51LTPh/u5Wu5/7ywuOJ4T4AXPUtRkUTVcLi8wAQ7e00NsgkZIAvhBBCiAXDbHWw7vOfQwO2f/z95LNZAFKjwwB4G9qNCyeqgi1QA0C4a5fBSSYmA3whhBBCLChLTr+awVetYHFnlge/9GYAMuEwAP6W1UZGE1XAGawDINxzwOAkE5MBvhBCCCEWnAtu/B2d7SZq/+c5Dv/9HnKRGFkTuOoWGx1NVLij07hiA0cMTjIxGeALIYQQYsExW+1s+NLXyCnY+YmPoEWSxB1gMpuNjiYqnLepHYDkUL+xQSYhA3whhBBCLEitW17J6GvW0HY4R8v2KEnZxFZMQ6AwjSs9MmJwkonJAF8IIYQQC9Z5//IbOpeZcaYh7VBGxxFVoKZxFWkLZMMRo6NMSAb4QgghhFiwTBYrm77ybeJ2yHhkeo6YmtXuJuoALVq5u11ZjA4ghBBCCGGk5k0XE/vGh2j01xkdRVSJhBNUtHI3upIBvhBCCCEWvBUXv8foCKKKpJwKRzxrdIwJyRQdIYQQQgghZiDrMmOL542OMSEZ4AshhBBCCDEDeZcFR1IzOsaEZIAvhBBCCCHETLjtOBOgaZU5yJcBvhBCCCGEEDNg8roxa5AZGTI6yrhkgC+EEEIIIcQMWP0+AMJHdhucZHwywBdCCCGEEGIG7DU1AIR7OgxOMj4Z4AshhBBCCDEDrtomAKJ9hwxOMj4Z4AshhBBCCDEDnoY2AOKDPQYnGZ8M8IUQQgghhJgBf/MyAFLDgwYnGZ8M8IUQQgghhJgBf8tq8kAmFDY6yrhkgC+EEEIIIcQM+AKLiTsgF4kaHWVcMsAXQgghhBBiBpTJRNwJRJNGRxmXDPCFEEIIIYSYoaRDYYpljI4xLhngCyGEEEIIMUNpl8ISzxkdY1wywBdCCCGEEGKGck4L9kTe6BjjkgG+EEIIIYQQM6S5rTgTRqcYnwzwhRBCCCGEmCHlceLIgJZOGx3lODLAF0IIIYQQYoYsPg8AsZ5OQ3OMRwb4QgghhBBCzJA1EAAg1LXL4CTHkwG+EEIIIYQQM+QM1gEQ6d1vcJLjyQBfCCGEEEKIGXLXtwAQ6+8yOMnxZIAvhBBCCCHEDHka2wFIDPUbG2QchgzwlVJBpdS9SqmOwr81Exx3beGYDqXUtWMeP1kptU0ptVcp9T2llJqsXaX7XuH455RSmwuPn6eUembMLamUuqrwuVuUUgfGfG5T6b8zQgghhBCiGgRaVgGQGRkxOMnxjDqD/0ngfk3TVgL3F+6/hFIqCNwInAacCtw45o3Aj4B3AisLt0umaPfSMce+q/B8NE17UNO0TZqmbQLOB+LAPWNifOzo5zVNe6YoX7kQQgghhKh6Nf+/vXsPtqos4zj+/Y14oSCxMDJQ8QIZing5KkkXKAeVZoImNcgkiC6OVlrKqN3TLppjVpOXsMuRBrVSTGpUpEal5KJHRQ6KKWIpSklgKloq8vTHek9uN3tvtuzNvix+n5kzrLPWu9/1rIdzznr2u9+11tuG8lIv2PDss80OZRPNKvDHA1em5SuBCSXaHA3Mi4h1EfE0MA84RtJuwJsiYlFEBDCz4PXl+h0PzIzMIqBf6qfQccBNEfFCHY7PzMzMzHJshx37sn4n2Li+9Z521awCf0BErE7L/wAGlGgzEHi84PtVad3AtFy8vlK/5foqNBG4umjdd9KUnosl7Vj5kMzMzMxsW/Kf3qD1LzY7jE1stQJf0h8lLSvxNb6wXRqFj3rv//X0m0bzhwNzC1afA+wHHAa8GTirwus/I6lLUteaNWu2PGgzMzMzaxsv9BEb4pVmh7GJXlur44g4qtw2Sf+UtFtErE7FdanLj58ARhd8Pwi4La0fVLS+5/5E5fp9Ati9zGsATgCuj4iXC+Lv+STgRUm/BM4sdzwRMQOYAdDR0VH3NytmZmZm1nrunbInvbQd45odSJFmTdGZA/TcFecTwA0l2swFxkraJV1cOxaYmwrvZyWNTHfPmVzw+nL9zgEmp7vpjASeKSjgASZRND2nZ45+2scEYNkWH62ZmZmZ5c43PnoTXznhD80OYxNbbQR/M84HfiNpGvB3shF0JHUAJ0fEpyJinaTzgLvSa86NiHVp+RSgE+gN3JS+yvYL3AiMA1aQ3Slnak8gkgaTje7fXhTjLEm7AgKWACfXfNRmZmZmZluZsqnqVi8dHR3R1dXV7DDMzMzMLMck3R0RHaW2+Um2ZmZmZmY54gLfzMzMzCxHXOCbmZmZmeWIC3wzMzMzsxxxgW9mZmZmliMu8M3MzMzMcsQFvpmZmZlZjrjANzMzMzPLERf4ZmZmZmY54gLfzMzMzCxHXOCbmZmZmeWIC3wzMzMzsxxxgW9mZmZmliMu8M3MzMzMcsQFvpmZmZlZjrjANzMzMzPLEUVEs2PIFUlrgL83O44W1R/4V7ODaHPOYe2cw9o5h7VzDuvDeaydc1i7ZuVwz4jYtdQGF/jWMJK6IqKj2XG0M+ewds5h7ZzD2jmH9eE81s45rF0r5tBTdMzMzMzMcsQFvpmZmZlZjrjAt0aa0ewAcsA5rJ1zWDvnsHbOYX04j7VzDmvXcjn0HHwzMzMzsxzxCL6ZmZmZWY64wLe6k3SMpL9KWiHp7DJtTpD0gKT7JV3V6Bhb3eZyKGkPSbdKulfSUknjmhFnq5L0C0lPSVpWZrsk/Tjld6mkQxodY6urIocnptx1S1ogaUSjY2wHm8tjQbvDJG2QdFyjYmsX1eRQ0mhJS9I55fZGxtcOqvh93lnS7yXdl3I4tdExtjpJu6fzbk/tclqJNi1zbnGBb3UlaTvgEuBYYBgwSdKwojZDgHOAURGxP3B6wwNtYdXkEPgq8JuIOBiYCFza2ChbXidwTIXtxwJD0tdngMsaEFO76aRyDh8F3hcRw4HzaME5qC2ik8p57PmdvwC4pREBtaFOKuRQUj+yv4EfSueU4xsUVzvppPLP4anAAxExAhgNXCRphwbE1U42AGdExDBgJHBqiXNzy5xbXOBbvR0OrIiIlRHxEnANML6ozaeBSyLiaYCIeKrBMba6anIYwJvS8s7Akw2Mr+VFxHxgXYUm44GZkVkE9JO0W2Oiaw+by2FELOj5HQYWAYMaElibqeJnEeDzwHWA/xaWUEUOPwbMjojHUnvnsUgVOQygryQBfVLbDY2IrV1ExOqIuCctPwcsBwYWNWuZc4sLfKu3gcDjBd+vYtNfgKHAUEl3SFokqeLo1jaomhx+E/i4pFXAjWQFglWvmhxb9aYBNzU7iHYkaSDwYfwpUi2GArtIuk3S3ZImNzugNvQT4J1kg0XdwGkRsbG5IbUuSYOBg4HFRZta5tzSqxk7tW1eL7KPr0aTjfrNlzQ8Iv7d1KjayySgMyIukvQu4FeSDvAfZGs0SWPICvx3NzuWNvVD4KyI2JgNntoW6AUcCnwA6A0slLQoIh5qblht5WhgCfB+YB9gnqQ/R8SzzQ2r9UjqQ/aJ2+mtnB8X+FZvTwC7F3w/KK0rtApYHBEvA49Keois4L+rMSG2vGpyOI00nzIiFkraCeiPP+KvVjU5ts2QdCDwM+DYiFjb7HjaVAdwTSru+wPjJG2IiN81N6y2sgpYGxHPA89Lmg+MAFzgV28qcH5k905fIelRYD/gzuaG1VokbU9W3M+KiNklmrTMucVTdKze7gKGSNorXaAzEZhT1OZ3ZKP3SOpP9vHqykYG2eKqyeFjZKNVSHonsBOwpqFRtrc5wOR0x4ORwDMRsbrZQbUTSXsAs4GTPFK65SJir4gYHBGDgWuBU1zcv243AO+W1EvSG4AjyOZHW/UKzykDgHfg8/JrpOsTfg4sj4gflGnWMucWj+BbXUXEBkmfA+YC2wG/iIj7JZ0LdEXEnLRtrKQHgFeA6R79e1WVOTwDuELSF8kujpoSfmrd/0m6muxNZP90ncI3gO0BIuJysusWxgErgBfIRq+sQBU5/DrwFuDSNPq8ISI6mhNt66oij7YZm8thRCyXdDOwFNgI/CwiKt6WdFtTxc/heUCnpG5AZNPG/tWkcFvVKOAkoFvSkrTuy8Ae0HrnFj/J1szMzMwsRzxFx8zMzMwsR1zgm5mZmZnliAt8MzMzM7MccYFvZmZmZpYjLvDNzMzMzHLEBb6ZWZuStL6KNqene4PXa58TJA2rY38Lanjt+vTv2yVdW6FdP0mnbOl+zMzajQt8M7N8Ox14XQW+pO0qbJ4A1K3Aj4gj69DHkxFxXIUm/QAX+Ga2zXCBb2bW5iSNlnSbpGslPShpVnqS4heAtwO3Sro1tR0raaGkeyT9VlKftP5vki6QdA9wvKRPS7pL0n2SrpP0BklHAh8CLpS0RNI+kg6StEjSUknXS9ol9XebpIsldUlaLukwSbMlPSzp2wWxry9YPktSd9rn+SWOc68Ue3dRH4MlLUvL+0u6M8W3VNIQ4Hxgn7TuQkl9JP0p5aBb0viCfpZLukLS/ZJukdQ7bdtX0h9TbPdI2ietn57ytFTSt+r6H2tmtoVc4JuZ5cPBZKP1w4C9gVER8WPgSWBMRIyR1B/4KnBURBwCdAFfKuhjbUQcEhHXALMj4rCIGAEsB6ZFxAKyR7FPj4iDIuIRYCbZUy8PBLrJnpDZ46X0dNvLgRuAU4EDgCmS3lIYvKRjgfHAEWmf3y9xjD8CLouI4UC5x7+fDPwoIg4COoBVwNnAIynm6cB/gQ+nHIwBLkqPoQcYAlwSEfsD/wY+ktbPSutHAEcCqyWNTe0PBw4CDpX03jJxmZk1TK9mB2BmZnVxZ0SsAkiPUR8M/KWozUiyNwB3pHp2B2BhwfZfFywfkEbJ+wF9gLnFO5S0M9AvIm5Pq64EflvQZE76txu4PyJWp9etBHYH1ha0PQr4ZUS8ABAR60oc4yheLbh/BVxQos1C4CuSBpG9SXn41dr91dCB76ZifCMwEBiQtj0aET2Pob8bGCypLzAwIq5Psf03HcdYYCxwb2rfh6zgn18iLjOzhnGBb2aWDy8WLL9C6b/vAuZFxKQyfTxfsNwJTIiI+yRNAUbXENPGovg2lomvGlFxY8RVkhYDHwRulPRZYGVRsxOBXYFDI+JlSX8DdiqKGbI89q6wOwHfi4ifvo74zcy2Ok/RMTPLt+eAvml5ETBK0r4Akt4oaWiZ1/Ulm4ayPVlBvEl/EfEM8LSk96RtJwG3s2XmAVN77vgj6c0l2twBTEzLJ5bYjqS9gZVpetINwIG8NgcAOwNPpeJ+DLBnpcAi4jlglaQJaR87pjjnAp8suI5hoKS3VnW0ZmZbkQt8M7N8mwHcLOnWiFgDTAGulrSUbDrLfmVe9zVgMVlR/WDB+muA6ZLuTReafoLsotulZPPQz92SICPiZrIpPV1pitGZJZqdBpwqqZtsWk0pJwDLUh8HADMjYi3ZtKRlki4km0/fkfqZXHR85ZwEfCEd5wLgbRFxC3AVsDD1dS2vfSNhZtYUiqj4aaeZmZmZmbURj+CbmZmZmeWIC3wzMzMzsxxxgW9mZmZmliMu8M3MzMzMcsQFvpmZmZlZjrjANzMzMzPLERf4ZmZmZmY54gLfzMzMzCxH/geIeZ9DkJzoxwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pylab.rcParams['figure.figsize'] = (12, 8)\n",
    "for j in range(energies_eom.shape[0]):\n",
    "    label = 'Ground state' if j ==0 else 'Excited state {}'.format(j)\n",
    "    pylab.plot(distances, np.subtract(energies_eom[j], energies[j]), label=label)\n",
    "pylab.xlabel('Interatomic distance')\n",
    "pylab.ylabel('Energy difference')\n",
    "pylab.title('H2 Ground and Excited States from QEomVQE, difference from reference')\n",
    "pylab.legend(loc='best')\n",
    "pylab.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pylab.rcParams['figure.figsize'] = (12, 8)\n",
    "for j in range(energies_eom.shape[0]):\n",
    "    label = 'Ground state' if j ==0 else 'Excited state {}'.format(j)\n",
    "    pylab.plot(distances, np.abs(np.subtract(energies_eom[j], energies[j])), label=label)\n",
    "pylab.xlabel('Interatomic distance')\n",
    "pylab.ylabel('Energy difference (log scale)')\n",
    "pylab.yscale('log')\n",
    "pylab.title('H2 Ground and Excited States from QEomVQE, absolute difference from reference')\n",
    "pylab.legend(loc='best')\n",
    "pylab.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
